Question

Arrange the fractions in ascending order.
$\frac{5}{8},\frac{7}{12},\frac{3}{4}and\frac{13}{16}$

• A. <<<
• B. <<<
• C. <<<
• D. <<<

Answer 1

The correct option is D <<<

The given fraction are $\frac{5}{8},\frac{7}{12},\frac{3}{4}and\frac{13}{16}$.
Since given fractions are unlike fraction, first of all we have to convert it into like fraction.
So, L.C.M. of 8, 12, 4, and 16 is 48.
$\frac{5}{6}\times \frac{6}{6}=\frac{30}{48}$
$\frac{7}{12}\times \frac{4}{4}=\frac{28}{48}$
$\frac{3}{4}\times \frac{12}{12}=\frac{36}{48}$
$\frac{13}{16}\times \frac{3}{3}=\frac{39}{48}$
So, when we arrange the given fractions in the ascending order we will get:
$\frac{28}{48}$<$\frac{30}{48}$<$\frac{36}{48}$<$\frac{39}{48}$
The corresponding fractions are:
$\frac{7}{12}$<$\frac{5}{8}$<$\frac{3}{4}$<$\frac{13}{16}$