Math · Stage 6

Multiply and divide fractions (including dividing by a fraction)

Multiply fractions by multiplying across the top and bottom, divide by a fraction with keep-change-flip, and always give the answer in its simplest form.

✦ Math📘 Stage 6 · S6⏱ ~14 min🧒 Ages 10–12★ Free to start
I can multiply and divide fractions (including dividing by a fraction).
Kavi the owl for Math
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Kavi Shares the Pizzas 🍕

At the Owl Café, Kavi cuts pizzas. "Half of a half is a quarter — multiplying is taking a fraction OF a fraction, so the answer gets smaller," Kavi hoots. "But how many half-slices fit in 3 whole pizzas? Six! Dividing BY a fraction makes the answer bigger ⚡. To multiply, go straight across — top × top, bottom × bottom. To divide, keep, change, flip."

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What your child will learn

1Multiplying is taking a fraction of a fractionTo find ½ × ⅓, first shade ⅓ of a bar, then take ½ of that shaded part. You are left with just 1 piece out of 6 — so ½ × ⅓ = 1/6. Taking a part of a part always lands on a smaller piece.
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A peek inside

Work out 3/4 × 2/5 in simplest form.
tops: 3×2 = 6; bottoms: 4×5 = 20; so 6/20, then divide top and bottom by 2

Try this at home: Multiply (simplest form): 2/5 × 3/4 = __

Ready to play and learn?

Start the free interactive lesson, or print the handout for screen-free play.

Part of Math · Stage 6 · S6 on KAVI Academy — a secular, whole-child learning platform for ages 5–12.