Question

Question 67.
$\frac{8}{15}$ ___ $\frac{95}{14}$

Answer 1

'<'

The given fractions are $\frac{8}{15}$ and $\frac{95}{14}$.
In order to compare fractions with different denominators, we will convert them to like fractions, that is fractions having the same denominator.
LCM of 15 and 14 is calculated below.

$\begin{array}{cc}2& 15,14\\ 3& 15,7\\ 5& 5,7\\ 7& 1,7\\ & 1,1\end{array}$
$\therefore$ LCM of 15 and 14 = $2\times 3\times 5\times 7=210$
Now, converting each of the given fraction to an equivalent fraction with denominator 210.
$\frac{8}{15}=\frac{8\times 14}{15\times 14}=\frac{112}{210}$ and $\frac{95}{14}=\frac{95\times 15}{14\times 15}=\frac{1425}{210}$.
Clearly, $\frac{112}{210}<\frac{1425}{210}$
$\therefore$ $\frac{8}{15}<\frac{95}{14}$