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# The number 0.3¯ in the form

Question:

The number $0 .$ a in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$, is

(a) $\frac{33}{100}$

(b) $\frac{3}{10}$

(C) $\frac{1}{3}$

(d) $\frac{3}{100}$

Solution:

Given number is $0 . \overline{3}$

$0 . \overline{3}=0+\frac{3}{9}$

$=\frac{3}{9}$

$=\frac{1}{3}$

The correct option is