Math · Stage 3
A Fraction of a Quantity
To find 3/4 of 12, divide by the bottom number (12 ÷ 4 = 3), then multiply by the top number (3 × 3 = 9). Divide by the denominator, multiply by the numerator.
✦ Math📘 Stage 3 · S3⏱ ~10 min🧒 Ages 7–8★ Free to start
I can find a fraction of a quantity by dividing by the denominator and multiplying by the numerator.
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Kavi Shares the Grapes 🍇
Kavi has 12 grapes 🍇 and wants 3/4 of them. "First I share them into 4 equal piles — that's 3 in each pile," hoots Kavi. "One pile is 1/4. Now I take 3 of the piles: 3 × 3 = 9. So 3/4 of 12 = 9! Divide by the bottom, multiply by the top."
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What your child will learn
1The bottom number = how many equal partsA fraction like 1/4 tells you two things. The bottom number (denominator) is how many equal parts to make — here, 4. The top number (numerator) is how many parts you take — here, 1.
2Divide by the bottom: 12 into 4 equal pilesHere are 12 grapes 🍇 shared into 4 equal groups. Tap each group and count with Kavi: every group has the same 3. That is 12 ÷ 4 = 3 — so 1/4 of 12 = 3.
3Multiply by the top: take 3 of the partsNow we want 3/4, so we take 3 of the 4 equal parts. Each part is worth 3 grapes, and we take 3 parts: 3 × 3 = 9.
4Divide by the bottom, multiply by the topFinding a fraction of a quantity is always the same two moves, in order. Tap each card to hear it.
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A peek inside
Find 3/4 of 12 🍇.
divide by the bottom: 12 ÷ 4 = 3 · then multiply by the top: 3 × 3 = 9
Try this at home: Find 1/4 of 12. First share into 4 equal parts: 12 ÷ 4 = __
Ready to play and learn?
Start the free interactive lesson, or print the handout for screen-free play.
Part of Math · Stage 3 · S3 on KAVI Academy — a secular, whole-child learning platform for ages 5–12.