Question

Question 9 :

Rafiq exercised for $\frac{3}{6}$ of an hour, while Rohit exercised for $\frac{3}{4}$ of an hour. Who exercised for a longer time?

Answer 1

As per the question

Rafiq exercised $\frac{3}{6}$ of an hour.

Rohit exercised $\frac{3}{4}$ of an hour.

Now, the LCM of 6 and 4 is 12.

Therefore the equivalent fractions of $\frac{3}{6}$ and $\frac{3}{4}$ with the same denominator are:

$\frac{3}{6}=\frac{3\times 2}{6\times 2}=\frac{6}{12}$ and $\frac{3}{4}=\frac{3\times 3}{4\times 3}=\frac{9}{12}$.

$\frac{6}{12}<\frac{9}{12}$

Therefore $\frac{3}{4}>\frac{3}{6}$

Therefore, Rohit exercised for a longer time.