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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
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  4. Unit 1/
  5. Multiplying & Dividing Fractions
Grade 6 · Unit 1Topic 3 of 4~15 min

Multiplying & Dividing Fractions

Multiply straight across. To divide, keep–change–flip.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Multiplying fractions

Multiply straight across: numerator times numerator, denominator times denominator. Then simplify. For example, 2/3 × 4/5 = 8/15.

Dividing fractions — keep, change, flip

To divide by a fraction, you multiply by its reciprocal (the fraction flipped upside down).

  1. 1Keep the first fraction as it is.
  2. 2Change the ÷ sign to ×.
  3. 3Flip the second fraction (its reciprocal).
  4. 4Multiply across and simplify.
Worked example

3/4 ÷ 2/3

  1. →Keep 3/4, change ÷ to ×, flip 2/3 → 3/2.
  2. →3/4 × 3/2 = 9/8.
  3. →9/8 = 1 1/8.

Tip

Turn mixed numbers into improper fractions before you multiply or divide.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Math Antics

Multiplying Fractions

Multiply across the top and bottom, then simplify.

Watch on YouTube
Math Antics

Dividing Fractions

Flip the second fraction, then multiply (keep–change–flip).

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Worksheet

Worksheet — Operations practice

Mixed practice covering fraction and decimal operations.

Open in DriveDownload
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Multiplying & Dividing Fractions

Question 1 of 3

Medium

What is 3/4 ÷ 2/3?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 2 of 4Adding & Subtracting Fractions→Next up · Topic 4 of 4Decimal Operations