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Comparing fractions without a calculator

Fractions

Comparing two fractions without a calculator, using a common denominator to find the exact gap between them.

Challenge level
Exam standard
01
Have a go first

The Question

Which is larger, 5/8 or 7/12? By exactly how much?

02
Then check together

The Answer

Reveal the Answer
5/8 is larger, by 1/24

LCM of 8 and 12 is 24. 5/8 = 15/24 and 7/12 = 14/24, so 5/8 wins by 1/24. Show why cross-multiplying works as a check, not as the method.

Now watch the solution

Comparing fractions without a calculator
Singapore Maths Academy
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