Question

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

• A. >>>
• B. >>>
• C. >>>
• D. >>>

Answer 1

The correct option is B >>>

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.
$\frac{5}{8}\times \frac{6}{6}=\frac{30}{48}$
$\frac{7}{12}\times \frac{4}{4}=\frac{28}{48}$
$\frac{3}{4}\times \frac{12}{12}=\frac{36}{48}$
$\frac{13}{16}\times \frac{3}{3}=\frac{39}{48}$
So, when we arrange the given fractions in the descending order we will get:
$\frac{39}{48}$>$\frac{36}{48}$>$\frac{30}{48}$>$\frac{28}{48}$
The corresponding fractions are:
$\frac{13}{16}$>$\frac{3}{4}$>$\frac{5}{8}$>$\frac{7}{12}$