Question

Find the difference $:$

$9-\frac{5}{7}$

Answer 1

Step 1 Find the least common multiple of denominators of given fractions

Given fractions are $\frac{9}{1}$and $\frac{5}{7}$

L.C.M of $(1,7)$ $=7$

Step 2 Make the equivalent fraction with denominator $7$and subtract it

$\frac{9}{1}-\frac{5}{7}$ $=\frac{9\times 7-5\times 1}{7}$

$\Rightarrow \frac{63-5}{7}=\frac{58}{7}$ $=8\frac{2}{7}$

Therefore, $9-\frac{5}{7}$ is $8\frac{2}{7}$