Question

$1.\overline{3}$ is equal to

Answer 1

$1.\overline{3}$ is expressed as $1.333333.....$

$1.\overline{3}=1.33333......$

Let $x=1.3333.......\left(1\right)$

Multiplying $\left(1\right)$ by $10$

$10x=13.333........\left(2\right)$

Subtract equation $\left(1\right)$ from $\left(2\right)$

$10x-x=\left(13.3333...\right)-\left(1.3333.....\right)$

$9x=12$

$x=\frac{12}{9}$

$x=\frac{4}{3}$

$1.\overline{3}$ (overline) is equivalent to the fraction form $\frac{4}{3}$

Hence$,$ $1.\overline{3}$ is equivalent to the fraction form $\frac{4}{3}$