Question

Question 28
Between the numbers $\frac{15}{20}$ and $\frac{35}{40}$, the greater number is ___

Answer 1

$\left(\frac{35}{40}\right)$

Given numbers are $\frac{15}{20}$ and $\frac{35}{40}$

LCM of 20 and 40 $=2\times 2\times 2\times 5=40$

$\begin{array}{ccc}2& 20& 40\\ 2& 10& 20\\ 2& 5& 10\\ 5& 5& 5\\ & 1& 1\end{array}$

Now, $\frac{15}{20}=\frac{15}{20}\times \frac{2}{2}=\frac{35}{40}$ [on multiplying and dividing by 2]

On comparing

$\frac{35}{40}>\frac{30}{40}$

$\Rightarrow \frac{35}{40}>\frac{15}{20}$

Hence, $\frac{35}{40}$ is greater.