AI generatedNumberKey Stage 3

Comparing fractions - with different denominators

Different denominators describe different-sized pieces, so comparing only the numerators is not enough.

  • Different denominators describe different-sized pieces, so comparing only the numerators is not enough.
  • Make equivalent fractions using a common denominator. Multiply the top and bottom by the same number.
  • Compare the new numerators, then state the comparison using the original fractions.

Example 1

Insert <, > or =. Explain your comparison.

Scale top and bottom by 6.Scale top and bottom by 5.

Example 2

Insert <, > or =. Explain your comparison.

Scale top and bottom by 4.Scale top and bottom by 3.

Remember
Use the worked steps to check your method, not just the final answer.

Your turn

Question 1

Insert <, > or =. Explain your comparison.

Check answer
Scale top and bottom by 10.Scale top and bottom by 7.

With equal denominators, compare the numerators.

Question 2

Insert <, > or =. Explain your comparison.

Check answer
Scale top and bottom by 9.Scale top and bottom by 8.

With equal denominators, compare the numerators.

Question 3

Insert <, > or =. Explain your comparison.

Check answer
Scale top and bottom by 11.Scale top and bottom by 9.

With equal denominators, compare the numerators.

Question 4

Insert <, > or =. Explain your comparison.

Check answer
Scale top and bottom by 13.Scale top and bottom by 10.

With equal denominators, compare the numerators.

Question 5

Insert <, > or =. Explain your comparison.

Check answer
Scale top and bottom by 12.Scale top and bottom by 11.

With equal denominators, compare the numerators.

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