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Expressing fractions, decimal numbers and percentages.
Practice: build the sentences →Fractions, decimals, and percentages are different ways of expressing numerical quantities and proportions.
For example, one half, 0.5, and fifty percent represent the same numerical value.
One half, 0.5, and fifty percent represent the same value.
Одна вторая, 0,5 и пятьдесят процентов представляют одно и то же значение.
"One half", "0.5", and "fifty percent" are different ways of expressing the same quantity.
Three quarters is equal to 0.75 or 75%.
Три четверти равны 0,75 или 75%.
"Three quarters", "0.75", and "75%" express the same proportion.
One third is approximately 0.333 or 33.3%.
Одна треть приблизительно равна 0,333 или 33,3%.
Fractions, decimals, and percentages can represent the same value.
A quarter is 0.25, which is 25%.
Четверть — это 0,25, что составляет 25%.
"A quarter" equals "0.25" and "25%".
Two fifths is 0.4 or forty percent.
Две пятых — это 0,4 или сорок процентов.
"Two fifths", "0.4", and "forty percent" are equivalent.
A common fraction expresses a part of a whole using a numerator and denominator.
Examples include one half, one third, two thirds, and three quarters.
One half of the cake was eaten.
Половина торта была съедена.
"One half" is a common fraction.
One third of the students were absent.
Одна треть студентов отсутствовала.
"One third" expresses a part of a whole.
Two thirds of the work is done.
Две трети работы сделано.
"Two thirds" is a common fraction.
Three quarters of the pie was left.
Три четверти пирога осталось.
"Three quarters" expresses a part of a whole.
A quarter of the profit goes to charity.
Четверть прибыли идёт на благотворительность.
"A quarter" is a simple fraction.
The numerator of a fraction is normally read as a cardinal number.
For example, 2/3 begins with two, 5/8 begins with five, and 11/20 begins with eleven.
2/3 begins with the numerator "two".
2/3 начинается с числителя «two».
The numerator is read as a cardinal number.
5/8 begins with the numerator "five".
5/8 начинается с числителя «five».
Numerators are cardinal numbers.
11/20 begins with the numerator "eleven".
11/20 начинается с числителя «eleven».
The numerator "11" is read as "eleven".
7/10 is read as seven tenths.
7/10 читается как seven tenths.
The numerator "7" is read as "seven".
3/4 is read as three quarters.
3/4 читается как three quarters.
The numerator "3" is read as "three".
The denominator is commonly expressed using an ordinal number when the numerator is one and often a pluralized ordinal when the numerator is greater than one.
For example, one third, two thirds, one fifth, and three fifths.
1/3 is read as one third.
1/3 читается как one third.
With numerator 1, the denominator uses the singular ordinal "third".
2/3 is read as two thirds.
2/3 читается как two thirds.
With numerator greater than 1, the denominator is pluralized: "thirds".
1/5 is read as one fifth.
1/5 читается как one fifth.
Singular ordinal "fifth".
3/5 is read as three fifths.
3/5 читается как three fifths.
Pluralized ordinal "fifths".
7/8 is read as seven eighths.
7/8 читается как seven eighths.
Pluralized ordinal "eighths".
The fraction 1/2 is normally read as one half or a half, while more than one half is expressed with halves.
For example, one half, a half, and three halves.
1/2 is read as one half or a half.
1/2 читается как one half или a half.
"One half" and "a half" are both correct.
3/2 is read as three halves.
3/2 читается как three halves.
More than one half is expressed with "halves".
She ate a half of the sandwich.
Она съела половину сэндвича.
"A half" is used for one of two equal parts.
Two halves make a whole.
Две половины составляют целое.
"Halves" is the plural form.
He drank one half of the milk.
Он выпил половину молока.
"One half" is a common expression.
The fraction 1/4 can be read as one quarter or a quarter, while larger quantities use quarters.
For example, one quarter, a quarter, and three quarters.
1/4 is read as one quarter or a quarter.
1/4 читается как one quarter или a quarter.
"One quarter" and "a quarter" are both correct.
3/4 is read as three quarters.
3/4 читается как three quarters.
"Three quarters" uses the plural.
She ate a quarter of the pizza.
Она съела четверть пиццы.
"A quarter" is one of four equal parts.
Two quarters make a half.
Две четверти составляют половину.
"Quarters" is plural.
He spent a quarter of his salary.
Он потратил четверть зарплаты.
"A quarter" expresses a proportion.
Some denominators use irregular or modified ordinal forms.
Important examples include half, third, fifth, eighth, ninth, and twelfth.
1/2 is read as one half.
1/2 читается как one half.
The denominator "2" has the irregular form "half".
1/3 is read as one third.
1/3 читается как one third.
The denominator "3" has the irregular form "third".
1/5 is read as one fifth.
1/5 читается как one fifth.
The denominator "5" has the irregular form "fifth".
1/8 is read as one eighth.
1/8 читается как one eighth.
The denominator "8" has the irregular form "eighth".
1/9 is read as one ninth.
1/9 читается как one ninth.
The denominator "9" has the irregular form "ninth".
A mixed number combines a whole number with a proper fraction.
For example, one and a half, two and three quarters, and five and one third.
1 1/2 is read as one and a half.
1 1/2 читается как one and a half.
"One and a half" is a mixed number.
2 3/4 is read as two and three quarters.
2 3/4 читается как two and three quarters.
Mixed number with "three quarters".
5 1/3 is read as five and one third.
5 1/3 читается как five and one third.
Mixed number with "one third".
She waited for three and a half hours.
Она ждала три с половиной часа.
Mixed number in a sentence.
The journey took two and a quarter hours.
Поездка заняла два с четвертью часа.
"Two and a quarter" is a mixed number.
And is normally used between the whole-number part and the fractional part when a mixed number is spoken.
For example, two and a half and seven and three quarters.
2 1/2 is read as two and a half.
2 1/2 читается как two and a half.
"And" connects the whole number and the fraction.
7 3/4 is read as seven and three quarters.
7 3/4 читается как seven and three quarters.
"And" separates whole and fractional parts.
One and a half is written as 1 1/2.
One and a half записывается как 1 1/2.
"And" is essential in spoken mixed numbers.
Three and two thirds is a mixed number.
Three and two thirds — смешанное число.
"And" links the parts.
She lives two and a half miles away.
Она живёт в двух с половиной милях отсюда.
"And" in a mixed number expression.
Fractions can modify nouns to express a quantity or proportion.
For example, a half hour, a three-quarter mile journey, and a two-thirds majority.
a half hour
полчаса
Fraction modifies the noun "hour".
a three-quarter mile journey
поездка длиной в три четверти мили
Fraction modifies "mile journey".
a two-thirds majority
большинство в две трети
Fraction modifies "majority".
a quarter share
четвертная доля
Fraction modifies "share".
a half-hour delay
задержка на полчаса
Hyphenated fraction modifier.
A fraction used directly before a noun as a compound modifier is commonly hyphenated.
For example, a two-thirds majority, a three-quarter-mile walk, and a one-half-hour delay.
a two-thirds majority
большинство в две трети
Hyphenated when used as a compound modifier before a noun.
a three-quarter-mile walk
прогулка в три четверти мили
Hyphenated compound modifier.
a one-half-hour delay
задержка в полчаса
Hyphenated fraction modifier.
a half-hour meeting
получасовая встреча
Hyphenated "half-hour".
a quarter-mile race
забег на четверть мили
Hyphenated compound modifier.
The noun following a fraction depends on whether the fractional quantity refers to a singular or plural amount.
For example, half of the cake is left, but two thirds of the students are absent.
Half of the cake is left.
Половина торта осталась.
Singular verb "is" because "cake" is singular.
Two thirds of the students are absent.
Две трети студентов отсутствуют.
Plural verb "are" because "students" is plural.
One quarter of the water is gone.
Четверть воды исчезла.
Singular verb with uncountable noun "water".
Three quarters of the employees are satisfied.
Три четверти сотрудников удовлетворены.
Plural verb with plural noun "employees".
A third of the information is missing.
Треть информации отсутствует.
Singular verb with "information".
Verb agreement after a percentage expression depends on the noun phrase following of.
For example, Thirty percent of the water is gone, but Thirty percent of the students are absent.
Thirty percent of the water is gone.
Тридцать процентов воды исчезло.
Singular verb "is" with uncountable noun "water".
Thirty percent of the students are absent.
Тридцать процентов студентов отсутствуют.
Plural verb "are" with plural noun "students".
Fifty percent of the cake was eaten.
Пятьдесят процентов торта было съедено.
Singular verb with "cake".
Seventy percent of the employees are happy.
Семьдесят процентов сотрудников довольны.
Plural verb with "employees".
Ten percent of the information is false.
Десять процентов информации ложны.
Singular verb with "information".
Decimal numbers are normally read using the word point between the whole-number and fractional parts.
For example, 3.14 is three point one four.
3.14 is read as three point one four.
3.14 читается как three point one four.
"Point" separates whole and decimal parts.
0.5 is read as zero point five.
0.5 читается как zero point five.
Decimal numbers use "point".
2.75 is read as two point seven five.
2.75 читается как two point seven five.
Digits after point are read individually.
1.05 is read as one point zero five.
1.05 читается как one point zero five.
Zero is read as "zero".
10.3 is read as ten point three.
10.3 читается как ten point three.
Decimal reading pattern.
Digits after a decimal point are normally read individually rather than as an ordinary whole number.
For example, 4.05 is four point zero five.
4.05 is read as four point zero five.
4.05 читается как four point zero five.
Digits after decimal are read individually.
3.14 is read as three point one four.
3.14 читается как three point one four.
Each digit is pronounced separately.
0.75 is read as zero point seven five.
0.75 читается как zero point seven five.
Digits after point read individually.
2.50 is read as two point five zero.
2.50 читается как two point five zero.
The zero is pronounced.
1.23 is read as one point two three.
1.23 читается как one point two three.
Digits are read individually.
Zero after a decimal point is normally pronounced when it is necessary to make the digit sequence clear.
For example, 0.5 is zero point five and 2.05 is two point zero five.
0.5 is read as zero point five.
0.5 читается как zero point five.
Zero is pronounced before the decimal point.
2.05 is read as two point zero five.
2.05 читается как two point zero five.
Zero after the decimal point is pronounced.
0.75 is read as zero point seven five.
0.75 читается как zero point seven five.
Zero before decimal is read as "zero".
3.04 is read as three point zero four.
3.04 читается как three point zero four.
Zero is read as "zero".
1.50 is read as one point five zero.
1.50 читается как one point five zero.
Trailing zero is pronounced.
A decimal less than one can be read with zero before the decimal point.
For example, 0.75 is zero point seven five.
0.75 is read as zero point seven five.
0.75 читается как zero point seven five.
A decimal less than one can start with "zero point".
0.5 is read as zero point five.
0.5 читается как zero point five.
"Zero point" is standard.
0.25 is read as zero point two five.
0.25 читается как zero point two five.
Zero before decimal is pronounced.
0.333 is read as zero point three three three.
0.333 читается как zero point three three three.
"Zero point" before repeating digits.
0.1 is read as zero point one.
0.1 читается как zero point one.
Simple decimal reading.
English normally uses a point as the decimal separator, although other languages may use a comma.
For example, English writes 3.5 rather than 3,5.
English writes 3.5 rather than 3,5.
В английском пишут 3.5, а не 3,5.
English uses a point as decimal separator.
The decimal point separates whole and fractional parts.
Десятичная точка разделяет целую и дробную части.
Point is the English convention.
In English, 0.5 is written with a point.
В английском 0.5 пишется с точкой.
Decimal comma is not used in English.
Other languages may use a comma for decimals.
В других языках для десятичных дробей может использоваться запятая.
English uses a point.
Always use a point in English decimal numbers.
Всегда используйте точку в английских десятичных числах.
Standard English decimal notation.
Decimal quantities can take singular or plural nouns depending on the noun and the specific quantity being described.
For example, 1.5 hours is plural, while 1.0 hour can be used when exactly one unit is intended.
1.5 hours is a plural quantity.
1,5 часа — это множественное количество.
Decimal quantities greater than one take plural nouns.
1.0 hour can be used when exactly one unit is intended.
1,0 часа может использоваться, когда имеется ровно одна единица.
Singular noun with exactly one unit.
0.5 hours is still plural in form.
0,5 часа — всё ещё множественная форма.
Even less than one, "hours" is plural.
2.5 miles is plural.
2,5 мили — множественное число.
Plural noun after decimal.
1.0 mile is singular.
1,0 миля — единственное число.
Singular when exactly one.
A percentage is normally read as the number followed by percent.
For example, 25% is twenty-five percent and 3.5% is three point five percent.
25% is read as twenty-five percent.
25% читается как twenty-five percent.
Percentage read as number + "percent".
3.5% is read as three point five percent.
3,5% читается как three point five percent.
Decimal percentages use "point".
50% is read as fifty percent.
50% читается как fifty percent.
Simple percentage reading.
0.5% is read as zero point five percent.
0,5% читается как zero point five percent.
Decimal percentage.
100% is read as one hundred percent.
100% читается как one hundred percent.
Full percentage.
Percent normally follows a numerical value, while percentage is a noun referring to the proportion itself.
For example, twenty percent of users and What percentage of users?
twenty percent of users
двадцать процентов пользователей
"Percent" follows a number.
What percentage of users?
Какой процент пользователей?
"Percentage" is a noun.
Ten percent of the students were absent.
Десять процентов студентов отсутствовали.
"Percent" after a number.
A high percentage of people agreed.
Высокий процент людей согласился.
"Percentage" as a noun.
What percentage of the total is that?
Какой это процент от общего числа?
"Percentage" in a question.
Percent is normally used directly after a numerical value.
For example, ten percent, 10%, and half a percent.
ten percent
десять процентов
"Percent" after a number.
10%
10%
Percent sign after number.
half a percent
полпроцента
"Percent" after "half a".
twenty-five percent
двадцать пять процентов
Number + percent.
0.5 percent
0,5 процента
Decimal + percent.
A percentage of introduces the group or quantity from which the proportion is calculated.
For example, A percentage of the students were absent.
A percentage of the students were absent.
Часть студентов отсутствовала.
"A percentage of" introduces the group.
A percentage of the profit goes to charity.
Часть прибыли идёт на благотворительность.
"A percentage of" + noun phrase.
A percentage of the population is vaccinated.
Часть населения вакцинирована.
"A percentage of" with singular noun.
A percentage of the employees are remote.
Часть сотрудников работает удалённо.
"A percentage of" with plural noun.
A percentage of the data was lost.
Часть данных была потеряна.
"A percentage of" with uncountable noun.
A percentage point measures the absolute difference between two percentages.
For example, an increase from 20% to 25% is an increase of five percentage points.
An increase from 20% to 25% is five percentage points.
Увеличение с 20% до 25% составляет пять процентных пунктов.
Percentage point measures absolute difference.
The difference is five percentage points.
Разница составляет пять процентных пунктов.
Absolute difference between percentages.
From 10% to 15% is a five percentage point rise.
С 10% до 15% — это рост на пять процентных пунктов.
Percentage points measure the gap.
A fall from 30% to 25% is five percentage points.
Падение с 30% до 25% составляет пять процентных пунктов.
Percentage point difference.
Always use percentage points for absolute differences.
Всегда используйте процентные пункты для абсолютных разниц.
Correct terminology.
A relative percentage increase is different from a difference measured in percentage points.
For example, an increase from 20% to 25% is five percentage points but a twenty-five percent relative increase.
An increase from 20% to 25% is five percentage points.
Увеличение с 20% до 25% составляет пять процентных пунктов.
Absolute difference measured in percentage points.
An increase from 20% to 25% is a twenty-five percent relative increase.
Увеличение с 20% до 25% — это относительный рост на двадцать пять процентов.
Relative increase is different.
Five percentage points versus a twenty-five percent increase.
Пять процентных пунктов против роста на двадцать пять процентов.
Two different measures.
Do not confuse percentage points with relative percentages.
Не путайте процентные пункты с относительными процентами.
Important distinction.
The report uses percentage points for absolute change.
В отчёте используются процентные пункты для абсолютного изменения.
Correct usage.
The percent sign is common in numerical, technical, and tabular writing, while the word percent may be preferred in running prose depending on style.
For example, 25% in a table and twenty-five percent in ordinary prose.
25% is used in tables.
25% используется в таблицах.
Percent sign is common in technical writing.
twenty-five percent is used in ordinary prose.
twenty-five percent используется в обычном тексте.
Word "percent" may be preferred in prose.
The figure shows 50%.
На рисунке показано 50%.
Percent sign in a figure.
About thirty percent of users agreed.
Около тридцати процентов пользователей согласились.
Word "percent" in running text.
Use % in tables and percent in prose.
Используйте % в таблицах и percent в тексте.
Style guideline.
A fraction can be expressed as a decimal when its numerical value is represented in decimal form.
For example, one half equals zero point five and one quarter equals zero point two five.
One half equals zero point five.
Одна вторая равна нулю целых пяти десятым.
Fraction to decimal conversion.
One quarter equals zero point two five.
Одна четверть равна нулю целых двадцати пяти сотым.
Fraction to decimal.
Three quarters equals zero point seven five.
Три четверти равны нулю целых семидесяти пяти сотым.
Fraction to decimal.
One third is approximately zero point three three three.
Одна треть приблизительно равна нулю целых трёмстам тридцати трём тысячным.
Fraction to repeating decimal.
Two fifths equals zero point four.
Две пятых равны нулю целых четырём десятым.
Fraction to decimal.
A fraction can be expressed as a percentage by representing its proportion per hundred.
For example, one half is fifty percent and one quarter is twenty-five percent.
One half is fifty percent.
Одна вторая — это пятьдесят процентов.
Fraction to percentage.
One quarter is twenty-five percent.
Одна четверть — это двадцать пять процентов.
Fraction to percentage.
Three quarters is seventy-five percent.
Три четверти — это семьдесят пять процентов.
Fraction to percentage.
One fifth is twenty percent.
Одна пятая — это двадцать процентов.
Fraction to percentage.
Two thirds is approximately sixty-six point six percent.
Две трети — приблизительно шестьдесят шесть целых шесть десятых процента.
Fraction to percentage.
A decimal can be expressed as a percentage by interpreting it as a proportion per hundred.
For example, zero point five is fifty percent and zero point two five is twenty-five percent.
Zero point five is fifty percent.
Ноль целых пять десятых — это пятьдесят процентов.
Decimal to percentage.
Zero point two five is twenty-five percent.
Ноль целых двадцать пять сотых — это двадцать пять процентов.
Decimal to percentage.
Zero point seven five is seventy-five percent.
Ноль целых семьдесят пять сотых — это семьдесят пять процентов.
Decimal to percentage.
One point zero is one hundred percent.
Одна целая ноль десятых — это сто процентов.
Decimal to percentage.
Zero point one is ten percent.
Ноль целых одна десятая — это десять процентов.
Decimal to percentage.
Percentages can modify a noun phrase introduced with of to express a proportion of a group or quantity.
For example, Fifty percent of the students were present and Twenty percent of the water was lost.
Fifty percent of the students were present.
Пятьдесят процентов студентов присутствовали.
"Percentage of" + noun phrase.
Twenty percent of the water was lost.
Двадцать процентов воды было потеряно.
"Percentage of" with uncountable noun.
Seventy percent of the employees are happy.
Семьдесят процентов сотрудников довольны.
"Percentage of" with plural noun.
Ten percent of the profit goes to charity.
Десять процентов прибыли идёт на благотворительность.
"Percentage of" + noun.
A high percentage of the data was corrupted.
Высокий процент данных был повреждён.
"Percentage of" with uncountable noun.
Expressions such as more than, less than, under, and over can modify percentages to indicate approximate or bounded proportions.
For example, more than 50 percent, under 10 percent, and over 90 percent.
more than 50 percent
более 50 процентов
"More than" modifies percentage.
under 10 percent
менее 10 процентов
"Under" modifies percentage.
over 90 percent
более 90 процентов
"Over" modifies percentage.
less than 20 percent
менее 20 процентов
"Less than" modifies percentage.
More than half of the users agreed.
Более половины пользователей согласились.
"More than" with percentage.
Approximately and about can indicate that a percentage is not exact.
For example, approximately 30 percent and about 15 percent.
approximately 30 percent
примерно 30 процентов
"Approximately" indicates approximation.
about 15 percent
около 15 процентов
"About" indicates approximation.
Around 40 percent of users agreed.
Около 40 процентов пользователей согласились.
"Around" with percentage.
Roughly 60 percent of the data is complete.
Примерно 60 процентов данных завершено.
"Roughly" indicates approximation.
Nearly 90 percent of students passed.
Почти 90 процентов студентов сдали.
"Nearly" indicates approximation.
A decimal with a recurring sequence can be described using repeating or recurring terminology.
For example, 0.333... is approximately zero point three three three recurring.
0.333... is read as zero point three three three recurring.
0.333... читается как zero point three three three recurring.
"Recurring" describes the repeating digit.
0.666... is zero point six recurring.
0.666... — это zero point six recurring.
Repeating decimal.
One third is approximately zero point three three three recurring.
Одна треть приблизительно равна нулю целых трёмстам тридцати трём тысячным с повторением.
Fraction to repeating decimal.
Repeating decimals are also called recurring decimals.
Повторяющиеся десятичные дроби также называются recurring decimals.
Terminology.
0.142857... is zero point one four two eight five seven recurring.
0.142857... читается как zero point one four two eight five seven recurring.
Complex repeating decimal.
Fractions and decimals can form ranges using from ... to, between ... and, or numerical punctuation.
For example, between 0.5 and 1.5 and from one half to three quarters.
between 0.5 and 1.5
между 0,5 и 1,5
"Between ... and" range.
from one half to three quarters
от одной второй до трёх четвертей
"From ... to" range.
The range is 0.5–1.5.
Диапазон: 0,5–1,5.
En dash indicates range.
between one third and two thirds
между одной третьей и двумя третями
"Between ... and" with fractions.
from 0.25 to 0.75
от 0,25 до 0,75
"From ... to" with decimals.
Use correct fraction names, decimal pronunciation, percentage terminology, noun agreement, and distinctions between percentage points and relative percentages.
Common mistakes include saying two third instead of two thirds, confusing percent with percentage, reading decimal digits as a whole number, and confusing percentage points with percentage increases.
2/3 is read as two thirds.
2/3 читается как two thirds.
Correct: plural "thirds" after numerator greater than 1.
2/3 is not two third.
2/3 — не two third.
Incorrect: use plural denominator.
twenty percent of users
двадцать процентов пользователей
Correct: "percent" after number.
What percentage of users?
Какой процент пользователей?
Correct: "percentage" as noun.
five percentage points
пять процентных пунктов
Correct: percentage points for absolute difference.