Find two equivalent fractions of the given fraction:
$3 \frac{2}{3}$

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Solution

Finding the equivalent fraction:
To find the equivalent fraction of a fraction we have to either multiply or divide both the numerator and denominator of the fraction with a same number.
$3 \frac{2}{3} = \frac{(3 \times 3) + 2}{3} = \frac{11}{3} (C o n v e r t i n g t h e m i x e d f r a c t i o n i n t o i m p r o p e r f r a c t i o n)$
So, let's find out two equivalent fractions of $\frac{11}{3}$ :
multiplying $2$ in both the numerator and denominator: $\frac{11}{3} = \frac{11 \times 2}{3 \times 2} = \frac{22}{6}$
multiplying $3$ in both the numerator and denominator: $\frac{11}{3} = \frac{11 \times 3}{3 \times 3} = \frac{33}{9}$
Hence the two equivalent fractions of $\frac{11}{3}$ are $\frac{22}{6}$ and $\frac{33}{9}$

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