Fractions · lesson 18 of 24 · free

Adding and subtracting mixed numbers — Fractions for kids

To work out 2 2/5 + 1 4/5, change both to fifths: 12/5 + 9/5 = 21/5, and change back: 4 1/5. The same way works for subtracting — no borrowing worries.

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The method

There and back — “change to improper fractions, work out, change back to a mixed number”

  1. Change both mixed numbers to improper fractions.
  2. Add or subtract the top numbers (same bottom).
  3. Change back to a mixed number and simplify the fraction part.

Use it for: Adding lengths, weights and times given as mixed numbers in Class 5–7.

🧮 Check your own sums with the free Fraction calculator — it shows the working.

Worked example: 2 2/5 + 1 4/5 = ? → 4 1/5

  1. 2 2/5 = 12/5 and 1 4/5 = 9/5.
  2. Add the tops: 12 + 9 = 21, so 21/5.
  3. 21 ÷ 5 = 4 remainder 1, so 21/5 = 4 1/5.

Check: 2 + 1 = 3 wholes, 2/5 + 4/5 = 6/5 = 1 1/5, and 3 + 1 1/5 = 4 1/5 ✓

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✏️ Practice

Work it out in your head or on paper, type the answer and press Check. Stuck? Press “Show me how”.

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🏁 Lesson 18 test

20 questions. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Adding and Subtracting Mixed Numbers Worksheet

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