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¾ ÷ ½

FR010 · Fractions & decimals · Classes 6–8

Fraction division

To divide by a fraction, multiply by its reciprocal (flip it). It answers: how many of these fit into that?

📐 Formula

(a/b) ÷ (c/d) = (a/b) × (d/c)

✏️ Worked example

3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2: one and a half halves fit into ¾.

🌍 Where it is used

How many ¼-kg packets can be filled from 3 kg?

❓ Quick check

2 ÷ 1/3 = ?

🏋️ Practice

Easy1/2 ÷ 1/4 = ?

Answer: 2

MediumHow many ¼-kg packets from 3 kg?

Answer: 12

Challenge(5/6) ÷ (10/9) = ?

Answer: 3/4