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🍬 Finding Fractions of Any Amount

Work out a fraction of a number — like a half of 10 or three-quarters of 12 — by sharing an amount into equal groups.

lessons

~15 min

to learn

🔢 Math

subject

Ages 6–12

level

Start the course →

What you’ll learn

Sharing into Equal GroupsFind a unit fraction of an amount by dividing the amount by the denominator.To find a unit fraction of an amount, divide the amount by the bottom number. One quarter of 12 is 12 ÷ 4 = 3; one half of 10 is 10 ÷ 2 = 5. It is the same as sharing the amount equally into that many groups and looking at one group.
More Than One PartFind a non-unit fraction of an amount by dividing by the denominator, then multiplying by the numerator.For fractions with a top number bigger than 1, use two steps: divide by the bottom number to find one part, then multiply by the top number. Three quarters of 12 is 12 ÷ 4 = 3, then 3 × 3 = 9. Two thirds of 12 is 12 ÷ 3 = 4, then 4 × 2 = 8.

Questions this course answers

What is 1/4 of 12?

Share 12 into 4 equal groups: 12 ÷ 4 = 3.

To find one third of an amount, you should...

A unit fraction of an amount is found by dividing by the bottom number, so for 1/3 you divide by 3.

To find 3/5 of an amount, first divide by 5, then...

After dividing by the bottom number, multiply by the top number 3.

Grounded in trusted sources

Khan Academy
BBC Bitesize — Maths
NCTM
Math is Fun

Every Wunder lesson is built from real, reputable sources — never invented.

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