Question

Question 6(c) :

Check whether the given fraction are equivalent:

$\frac{7}{13},\frac{5}{11}$

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 $\frac{7}{13},\frac{5}{11}$.

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

Now, both $\frac{7}{13}$ and $\frac{5}{11}$ are in its simplest form.

($\because$ The numerator and denominator of both the fractions have no common factor except 1)

Therefore, $\frac{7}{13}$ and $\frac{5}{11}$ are not equivalent fractions.

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