Question

Question 66.
$\frac{11}{16}$ ____ $\frac{14}{15}$

Answer 1

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The given fractions are $\frac{11}{16}$ and $\frac{14}{15}$.

In order to compare fractions with different denominators, we will convert them to like fractions, that is fractions having the same denominator.
LCM of 16 and 15
$\begin{array}{cc}2& 16,15\\ 2& 8,15\\ 2& 4,15\\ 2& 2,15\\ 3& 1,15\\ 5& 1,5\\ & 1,1\end{array}$
$\therefore$ LCM of 16 and 15 = $2\times 2\times 2\times 2\times 3\times 5=240$
Now, converting each of the given fractions to an equivalent fractions with denominator 240.
$\frac{11}{16}=\frac{11\times 15}{16\times 15}=\frac{165}{240}$ and $\frac{14\times 16}{15\times 16}=\frac{224}{240}$

165 < 224
$\therefore$ $\frac{165}{240}<\frac{224}{240}$
$\therefore$ $\frac{11}{16}<\frac{14}{15}$