Question

A marathon runner took $2$ hours $15$ minutes to complete a race .During the race he spent $50$ minutes in the lead .write in the simplest form what fraction of time he spent in the lead.

Answer 1

Fraction is the ratio of parts to its whole .

A marathon runner took $2$ hours $15$ minutes .

that means $=60\times 2+15$

$=120+15$

$=135$

So, a marathon runner took $135$ minutes.

Ratio will be

$=\frac{50}{135}$

$=\frac{10}{27}$

Hence, he spent $\frac{10}{27}$ fraction of time in the lead.