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Equivalent fractions

Equivalent fractions are fractions which equal the same amount as another fraction, even though they may look different. The numerator of a fraction is the number at the top of the fraction. The denominator is the number in the bottom half of the fraction.

Equivalent fractions may appear to be different, but they are, in fact, equal.


, and look to be different but they refer to the same quantity of a whole.

There are an unlimited number of equivalent fractions which can be created for any given fraction.


Visual representation of equivalent fractions


See animation


Thirds, sixths and twelfths on a number line

The equivalence of thirds, sixths and twelfths can be shown on number lines.

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Question 1/5

1. To create equivalent fractions, the numerator and denominator of a fraction can each

have the same amount added

have the same amount subtracted

be multiplied by the same amount, then have 1 added

be multiplied or divided by the same amount


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