Add, subtract, multiply and divide fractions worksheet | Live ... - Free Printable

Let's solve each problem step by step and match it with the correct answer from the right column.

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a) ³⁄₂₀ + ⁷⁄₂₀ =

Since the denominators are the same, we add the numerators:

3 + 7 = 10 → so the result is ¹⁰⁄₂₀

Simplify: divide numerator and denominator by 10 → ¹⁄₂

✔ Match: ¹⁄₂

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b) ⁴⁄₅ - ²⁄₃ =

Different denominators. Find LCD of 5 and 3 → 15

Convert fractions:

⁴⁄₅ = (4×3)/(5×3) = ¹²⁄₁₅

²⁄₃ = (2×5)/(3×5) = ¹⁰⁄₁₅

Now subtract: ¹²⁄₁₅ - ¹⁰⁄₁₅ = ²⁄₁₅

✔ Match: ²⁄₁₅

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c) ¹⁄₁₀ + ⁴⁄₅ =

Different denominators. LCD of 10 and 5 is 10

Convert ⁴⁄₅ to tenths: ⁴⁄₅ = (4×2)/(5×2) = ⁸⁄₁₀

Now add: ¹⁄₁₀ + ⁸⁄₁₀ = ⁹⁄₁₀

✔ Match: ⁹⁄₁₀

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d) ⁷⁄₁₁ - ¹⁄₂ =

LCD of 11 and 2 is 22

Convert:

⁷⁄₁₁ = (7×2)/(11×2) = ¹⁴⁄₂₂

¹⁄₂ = (1×11)/(2×11) = ¹¹⁄₂₂

Subtract: ¹⁴⁄₂₂ - ¹¹⁄₂₂ = ³⁄₂₂

✔ Match: ³⁄₂₂

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e) ²⁄₅ × ⁵⁄₆ =

Multiply numerators: 2 × 5 = 10
Multiply denominators: 5 × 6 = 30
→ ¹⁰⁄₃₀

Simplify: divide numerator and denominator by 10 → ¹⁄₃

✔ Match: ¹⁄₃

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f) ⁶⁄₉ ÷ ³⁄₄ =

To divide fractions, multiply by the reciprocal:

⁶⁄₉ × ⁴⁄₃

First, simplify ⁶⁄₉ → divide numerator and denominator by 3 → ²⁄₃

So now: ²⁄₃ × ⁴⁄₃ = (2×4)/(3×3) = ⁸⁄₉

✔ Match: ⁸⁄₉

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✔ Final Matching Answers:

a) ³⁄₂₀ + ⁷⁄₂₀ → ¹⁄₂
b) ⁴⁄₅ - ²⁄₃ → ²⁄₁₅
c) ¹⁄₁₀ + ⁴⁄₅ → ⁹⁄₁₀
d) ⁷⁄₁₁ - ¹⁄₂ → ³⁄₂₂
e) ²⁄₅ × ⁵⁄₆ → ¹⁄₃
f) ⁶⁄₉ ÷ ³⁄₄ → ⁸⁄₉

You can now drag and drop the correct boxes to match each problem.