Question

Reduce to a single fraction:
$\left(iii\right)$ $\frac{2}{3}-\frac{1}{6}$

Answer 1

Simplifying the fraction

To simplify the given expression first we have to convert the fractions into like fractions.

$LCM$ of the denominators of the fractions is,

$LCM$ $(3,6)=2\times 3=6$

Now, we will make the denominator of each fraction equal to $LCM$ and simplify as follows:

$\frac{2}{3}-\frac{1}{6}=\frac{2\times 2}{3\times 2}-\frac{1}{6}$

$=\frac{4}{6}-\frac{1}{6}=\frac{3}{6}=\frac{1}{2}$

Therefore, the reduced form of the given expression is $\frac{1}{2}$ .