Question

Bimal takes $3\frac{1}{5}$ minutes to walk across the university campus. Sayantan takes $\frac{9}{4}$ minutes. Who takes more time and how much?

Answer 1

Time taken by Bimal to reach his university campus = $3\frac{1}{5}$ minutes.
Time taken by Sayantan to reach the campus $\frac{9}{4}$ minutes.
First, we need to convert all the given fractions in a/b form
$3\frac{1}{5}=\frac{3\times 5+1}{5}=\frac{16}{5}$
Since the fractions are not equivalent, we will convert the same into Equivalent numbers.
The L.C.M of 4, 5 will be 20.
$\frac{9}{4}=\frac{9\times 5}{4\times 5}=\frac{45}{20}\frac{16}{5}=\frac{16\times 4}{5\times 4}=\frac{64}{20}$
Therefore, Bimal walks more than Sayantan.
If we need to find by how much time, we have to subtract the fractions.
$\frac{64}{20}-\frac{45}{20}=\frac{19}{20}$
$\frac{19}{20}$ minutes more would be taken by Bimal than Sayantan to reach the university campus.