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Mixed Number Subtraction: Same Denominator, No Exchanging Worksheet

Mixed Number Subtraction: Same Denominator, No Exchanging Worksheet: a printable maths practice sheet with an answer key, ideal for mixed number subtraction without exchanging practice. Make fresh sets as often as you like and print on A4 paper.

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Teaching Notes

Focus: Mixed Number − Mixed Number: No Regrouping. Use the worked example and teaching sequence below to explain the reasoning before independent practice.

Before You Begin

Teaching Steps for Parents and Teachers

  1. Use a common denominator so both fractions name the same-sized parts.
  2. Subtract the numerators in the stated order and keep that common denominator.
  3. With mixed numbers, you can first convert to improper fractions.
  4. Simplify the difference; if it is greater than one, read the equivalent improper and mixed forms together.

Worked Examples

Evaluate (3 4/5)-(1 2/5).

  1. Rewrite each mixed number as an improper fraction: 3 4/5 = 19/5; 1 2/5 = 7/5.
  2. Use denominator 5: 19/5 = 19/5 and 7/5 = 7/5.
  3. Keep denominator 5: (19 − 7)/5 = 12/5.
  4. Simplify to 12/5.
  5. 12/5 = 2 2/5.

Answer: 12/5 = 2 2/5

Common Mistakes and How to Help

Keep the subtraction order. Subtracting denominators or changing only a numerator does not preserve the original quantities.

Add the difference to the fraction subtracted. Simplify or find a common denominator to compare it with the starting amount.

Questions to Check Understanding

Practice Advice

Work through the example together. Ask the learner to explain the first two problems, then try three independently. Review the first incorrect step before assigning more practice.

Next Practice