Question

Determine the equivalent fractions of $\frac{2}{3}$.

Answer 1

STEP 1 : Definition of equivalent fraction

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. Equivalent fractions state that two or more than two fractions are said to be equal if both results are the same fraction after simplification. All the fractions obtained by multiplying both the numerator and denominator of the fraction by the same integer are equivalent to the given fraction.

STEP 2 : Finding the equivalent fractions of $\frac{2}{3}$

To find equivalent fractions of $\frac{2}{3}$ we need to multiply the numerator and denominator by same numbers. Hence,

$\frac{2}{3}\times \frac{2}{2}=\frac{4}{6}$

$\frac{2}{3}\times \frac{3}{3}=\frac{6}{9}$

$\frac{2}{3}\times \frac{4}{4}=\frac{8}{12}$

$\frac{2}{3}\times \frac{5}{5}=\frac{10}{15}$

Hence, the equivalent fraction of $\frac{2}{3}$is $\frac{4}{6},\frac{6}{9},\frac{8}{12}$ and $\frac{10}{15}$ etc.