Question

Convert given fraction into fractions with equal denominators:
$\left(ii\right)$$\frac{2}{3},\frac{5}{6}$ and $\frac{7}{12}$

Answer 1

Finding $LCM$ of denominators $3,6,12$

$LCM$ of $3,6,12:$

$\begin{array}{cc}2\mid & 3,6,12\\ 2\mid & 3,3,6\\ 3\mid & 3,3,3\\ \mid & 1,1,1\end{array}$

$LCM$ of $3,6,12=2\times 2\times 3=12$

Equalizing the denominators of the given fractions.

As the $LCM$ is $12$, therefore let’s make the denominator same as $12$ in each fraction as follows:

By multiplying $4$ in numerator and denominator in the $1^{st}$ fraction we get,
$\frac{2}{3}\Rightarrow \frac{2\times 4}{3\times 4}=\frac{8}{12}$

By multiplying $2$ in numerator and denominator in the $2^{nd}$ fraction we get,

$\frac{5}{6}\Rightarrow \frac{5\times 2}{6\times 2}=\frac{10}{12}$

Hence, the given fractions with equal denominators are $\frac{8}{12},\frac{10}{12}$ and $\frac{7}{12}$