Question

Mark the correct alternative in each of the following:

The fraction equivalent to $1\frac{2}{3}$ is

(a) $\frac{10}{3}$ (b) $\frac{3}{5}$ (c) $\frac{10}{6}$ (d) $\frac{6}{10}$

Answer 1

The given fraction is $1\frac{2}{3}=\frac{5}{3}$.

We know that if $\frac{a}{b}$ and $\frac{c}{d}$ are two equivalent fractions, then

$a\times d=b\times c$

Now,

$5\times 6=3\times 10$

So, the fractions $\frac{5}{3}$ and $\frac{10}{6}$ are equivalent fractions.

Thus, the fraction equivalent to $1\frac{2}{3}$ is $\frac{10}{6}$.

Hence, the correct answer is option (c).