Question

Question 6(a) :

Check whether the given fraction are equivalent:

$\frac{5}{9},\frac{30}{54}$

Answer 1

Equivalent fractions are fractions which represent the same part of the whole.
To find an equivalent fraction of a given fraction, we may multiply or divide both the numerator and the denominator of the given fraction by the same number.

The given fractions are $\frac{5}{9},\frac{30}{54}$.

A fraction is said to be in the simplest (or lowest) form if its numerator and denominator have no common factor except 1.

$\frac{5}{9}$ is in its simplest form.

Simplet form of $\frac{30}{54}=\frac{30÷6}{54÷6}=\frac{5}{9}$

Therefore, $\frac{5}{9},\frac{30}{54}$ are equivalent.

($\because$ If two fractions are not equal in their simplest from then they are not equivalent)