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Compare Fractions with Half and One

- Year 5 Maths

Compare fractions to benchmark fractions (1/2 and 1). To compare a given fraction to a 1/2, one can think of a fraction equivalent to 1/2 with the same denominator as the given fraction. For example, to compare 2/6 with 1/2, the following reasoning can be used:
1/2 is equivalent to 3/6
and 2/6 < 3/6 (smaller numerator).
Therefore, 2/6 < 1/2.

To compare a fraction to 1, students can follow a similar logic. For example, to compare 4/7 with 1, the following reasoning can be used:
1 is equivalent to 7/7
and 4/7 < 1.
Therefore, 4/7 < 1.

As a shortcut, if the numerator is smaller than the denominator, the fraction is smaller than 1.