To find equivalent fractions, multiply the numerator and denominator by the same nonzero whole number. You can multiply the numerator and the denominator of a fraction by any nonzero whole number, as long as you multiply both by the same whole number.

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Equivalent fractions are fractions that look different but show exactly the same amount.

You can make equivalent fractions by multiplying or dividing the numerator and denominator by the same number.

You can simplify fractions by dividing the numerator and denominator by the same number. This is called cancelling.

If a pie is cut into 4 pieces, then two pieces represent the same amount of pie that 1/2 did. We say that 1/2 is equivalent to 2/4. Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

Work out the missing number on each of these questions. You can use the diagram on the right to help you, but try using the method of multiplying the numerator (top) and denominator (bottom) by the same value. For example, in part (a) both parts of the fraction need to be multiplied by 4.

So we know that 3/4 is equivalent to 9/12, because 3×12=36 and 4×9=36. A simple way to look at how to check for equivalent fractions is to do what is called “cross-multiply”, which means multiple the numerator of one fraction by the denominator of the other fraction. Then do the same thing in reverse.