How do I multiply a fraction by a whole number?

Write the whole number over 1 and multiply across. 5/8 × 24 is 5/8 × 24/1, so the top is 5 × 24 = 120 and the bottom is 8 × 1 = 8, giving 120/8, which reduces to 15. Only the numerator is multiplied by the whole number, never the denominator as well: that mistake gives 120/192, which is 5/8 all over again.

15, and it is the same calculation. The word "of" between two numbers means multiply, which is why the operation list on this page has an "of" button beside the multiplication sign. Both give (5 × 24) over 8, so 120/8, so 15.

How do I divide a fraction by a whole number?

Pick the division sign and type the whole number in the second box. Dividing by 2 is the same as multiplying by its reciprocal 1/2, so 3/4 ÷ 2 is (3 × 1) over (4 × 2), which is 3/8. The working prints the reciprocal step, since that is the one worth seeing.

What if the answer is not a whole number?

You get every form at once and can take the one you need. 2/3 × 5 is 10/3, which is 3 1/3 as a mixed number and 3.(3) as a decimal, where the bracketed digit repeats for ever. Nothing is rounded to make it look tidier.

When does a fraction become a whole number?

Only when the top number divides exactly by the bottom one. 120/8 is 15 because 8 goes into 120 fifteen times with nothing left over, while 121/8 does not and stays as 15 1/8. The tool prints the value before it was simplified next to the answer, so you can see which case you are in.

Fraction Times Whole Number Calculator

Multiply a fraction by a whole number, or a whole number by a fraction, and get the answer exactly. The page opens on 5/8 × 24: a whole number sits over 1, so the sum is (5 × 24) over (8 × 1), which is 120/8, and dividing both by 8 gives 15. Switch the operation to "of" and the same numbers answer the question the way it is usually asked, five eighths of 24. When the answer does not land on a whole number you get the improper fraction, the mixed number and the decimal together, so 2/3 × 5 is 10/3 and 3 1/3 at once.

5/8 × 2415120/8 before simplifying · 15 as a decimal · 1500%

Operation

First

Second

Show

Each box takes a fraction like 3/4, a mixed number like 1 3/4, a whole number like 7 or a decimal like 0.75, and the answer comes back in every form at once. First box: a fraction, like 5/8. Second box: a whole number, like 24.

Simplifiedreduced from 120/8
15
As a mixed numbera whole number, with nothing left over
15
As a decimalit stops, so this is the whole value
15
As a percentagethe same value out of a hundred
1500%

The working

The same steps you would write on paper, and only the ones these two numbers actually needed.

Multiply across: (5 × 24) over (8 × 1) = 120/8.
Divide both by 8: 120/8 = 15.

Worked cases

Each one is computed by the same code that answers your own numbers, every time this page loads.

Decimal in0.375 as a fraction
3/8 · 0.375 as a decimal
Mixed numbers2 1/4 by 1 1/3
3 · 36/12 before simplifying, 3 as a decimal
Whole number5/8 of 24
15 · 120/8 before simplifying, 15 as a decimal

Exact rational arithmetic, then the conversions. Exact fraction arithmetic with no rounding: the result is simplified, shown as an improper fraction, a mixed number and a decimal, and a repeating decimal is marked with its period. It cannot know the form your teacher wants the answer in. The numerator and the denominator stay whole numbers from start to finish, the answer is reduced once by the greatest common divisor, and where a decimal is too long for the page it is cut short rather than rounded, so every digit on screen is a real digit of the value at that place.

Common questions

How do I multiply a fraction by a whole number?: Write the whole number over 1 and multiply across. 5/8 × 24 is 5/8 × 24/1, so the top is 5 × 24 = 120 and the bottom is 8 × 1 = 8, giving 120/8, which reduces to 15. Only the numerator is multiplied by the whole number, never the denominator as well: that mistake gives 120/192, which is 5/8 all over again.
What is 5/8 of 24?: 15, and it is the same calculation. The word "of" between two numbers means multiply, which is why the operation list on this page has an "of" button beside the multiplication sign. Both give (5 × 24) over 8, so 120/8, so 15.
How do I divide a fraction by a whole number?: Pick the division sign and type the whole number in the second box. Dividing by 2 is the same as multiplying by its reciprocal 1/2, so 3/4 ÷ 2 is (3 × 1) over (4 × 2), which is 3/8. The working prints the reciprocal step, since that is the one worth seeing.
What if the answer is not a whole number?: You get every form at once and can take the one you need. 2/3 × 5 is 10/3, which is 3 1/3 as a mixed number and 3.(3) as a decimal, where the bracketed digit repeats for ever. Nothing is rounded to make it look tidier.
When does a fraction become a whole number?: Only when the top number divides exactly by the bottom one. 120/8 is 15 because 8 goes into 120 fifteen times with nothing left over, while 121/8 does not and stays as 15 1/8. The tool prints the value before it was simplified next to the answer, so you can see which case you are in.

Exact fraction arithmetic with no rounding: the result is simplified, shown as an improper fraction, a mixed number and a decimal, and a repeating decimal is marked with its period. It cannot know the form your teacher wants the answer in.