A given fraction and the fraction obtained by multiplying (or dividing) both its numerator and denominator by the same non-zero number are called equivalent fractions.

$\frac{1}{2}$ , $\frac{2}{4}$ , $\frac{3}{6}$ are examples of equivalent fractions.

Equivalent fractions are found by multiplying both the numerator and the denominator by the same number. Equivalent fractions can also be found by dividing both the numerator and the denominator by the same number.

Look at the representation of a few fractions:

Equivalent Fractions

The shaded areas in these figures represent the fractions, $\frac{1}{2}$ , $\frac{2}{4}$ , $\frac{3}{6}$ respectively. If we place one diagram over the other, they are found to be equal. That is, the fractions representing these shaded areas are equal. Such fractions are called as equivalent fractions.

Facts about Equivalent Fractions:

If two fractions are equivalent, then the product of the numerator of the first and the denominator of the second is equal to the product of the numerator of second and the denominator of the first fraction.

In other words, if $\frac{a}{b}$ = $\frac{c}{d}$ , then we can say that ad = bc.