Fraction of a Number
Free printable fraction of a number worksheets. Every problem divides exactly, so the answers are whole numbers, with a key.
Eighteen problems a sheet, each asking for a fraction of a whole number - three quarters of 20. The number is built from the fraction rather than picked independently: it is always a multiple of the denominator, so every answer comes out whole and no sheet ends in a remainder a student meeting this for the first time has no method for.
The fraction is always given in lowest terms, which keeps the work to one step in each direction - divide by the denominator, multiply by the numerator - rather than asking a student to simplify and find a fraction of a number at the same time. The multiplier stays between 2 and 8, so the numbers stay inside the times tables even when the denominator is large.
What this worksheet covers
- Find a fraction of a whole number
- Divide by the denominator, then multiply by the numerator
Common Core standards
- 4.NF.B.4 Multiply a fraction by a whole number.
- 5.NF.B.4 Multiply a fraction or whole number by a fraction.
Frequently asked questions
How do you find a fraction of a number?
Divide the number by the denominator, then multiply by the numerator. For three quarters of 20: 20 divided by 4 is 5, and 5 times 3 is 15.
Will the answers always be whole numbers?
Yes. The number on each problem is generated as a multiple of the denominator, so the division is exact every time.
Why is the fraction never something like 2/4?
Fractions are drawn already in lowest terms, so simplifying is not folded into a question about something else. The Simplifying Fractions page practises that skill on its own.
Is this the same as multiplying fractions?
It is the same arithmetic - “of” means multiply - written the way it is usually met first, with a whole number rather than a second fraction. Multiplying Fractions has that version.