Fractions
GradesFifth GradeFractionsDividing Unit Fractions & Whole Numbers

Dividing Unit Fractions & Whole Numbers

🍕 Fractions

Dividing Unit Fractions & Whole Numbers

Flip it and multiply — division becomes multiplication!

To divide a unit fraction (like ⅓, ¼, ⅕) by a whole number, or a whole number by a unit fraction, we use the "Keep-Change-Flip" method: keep the first number, change ÷ to ×, and flip the second number (use its reciprocal).

Unit fraction ÷ Whole number

⅓ ÷ 4Keep ⅓, flip 4 → ¼⅓ × ¼ = 1/12Splitting ⅓ into 4 equal parts gives tiny pieces

Whole number ÷ Unit fraction

4 ÷ ⅓Keep 4, flip ⅓ → 34 × 3 = 12How many thirds fit in 4? Answer: 12 thirds!

Dividing by a fraction is the same as multiplying by its reciprocal.

a÷1n=a×na \div \frac{1}{n} = a \times n
🥐Real-World Division
You have 3 cups of flour. Each batch of muffins needs ¼ cup. How many batches? 3 ÷ ¼ = 3 × 4 = 12 batches. That's a lot of muffins! 🧁
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Remember This!

Check your answer makes sense: if you divide by a fraction less than 1, your answer should be BIGGER than what you started with.

✏️ Try It!

What is 5 ÷ ⅕?

Take Quiz 📝 — 25 Questions