Question

Convert given fraction into fractions with equal denominators:
$\left(i\right)$$\frac{5}{6}$and$\frac{7}{9}$

Answer 1

Finding $LCM$ of denominators $6,9:$

$LCM$ of $6,9$:
$\begin{array}{cc}2\mid & 6,9\\ 3\mid & 3,9\\ 3\mid & 1,3\\ \mid & 1,1\end{array}$
$LCM$ of $6,9=2\times 3\times 3=18$

Equalizing the denominators of the given fractions.

As the $LCM$ is $18$, therefore let’s make the denominator same as $18$ in each fraction as follows:

By multiplying $3$ in numerator and denominator in the $1^{st}$ fraction we get,
$\frac{5}{6}\Rightarrow \frac{5\times 3}{6\times 3}=\frac{15}{18}$

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

$\frac{7}{9}\Rightarrow \frac{7\times 2}{9\times 2}=\frac{14}{18}$

Hence, the given fractions with equal denominators are $\frac{15}{18}$ and $\frac{14}{18}$