Question

Question 126
Arrange the numbers $\frac{1}{4},\frac{13}{16},\frac{5}{8}$ in the descending order.

Answer 1

Given numbers are $\frac{1}{4},\frac{13}{16}$ and $\frac{5}{8}$
First, we convert the number as like denominator.
$\begin{array}{cccc}2& 4& 16& 8\\ 2& 2& 8& 4\\ 2& 1& 4& 2\\ 2& 1& 2& 1\\ & 1& 1& 1\end{array}$
Taking LCM of 4, 16, 8 $=2\times 2\times 2\times 2=16$
Now,
$\frac{1}{4}=\frac{1}{4}\times \frac{4}{4}=\frac{4}{16}$

$\frac{5}{8}=\frac{5}{8}\times \frac{2}{2}=\frac{10}{16}$

$\frac{13}{16}>\frac{10}{16}>\frac{4}{16}$

i.e. $\frac{13}{16}>\frac{5}{8}>\frac{1}{4}$