Question

Reduce to a single fraction:
$\left(v\right)$ $\frac{1}{4}+\frac{5}{6}-\frac{1}{12}$

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,

$LCM$ $(4,6,12)=2\times 2\times 3=12$

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

$\frac{1}{4}+\frac{5}{6}-\frac{1}{12}=\frac{1\times 3}{4\times 3}+\frac{5\times 2}{6\times 2}-\frac{1}{12}$

$=\frac{3}{12}+\frac{10}{12}-\frac{1}{12}$

$=\frac{3+10-1}{12}$

$=\frac{12}{12}=1$

Therefore, the reduced form of the given expression is $1$ .