Question

A motor cycle runs $31\frac{1}{4}$km consuming 1 liter of petrol. How much distance will it run consuming $1\frac{3}{5}$ liter of petrol?

Answer 1

Step 1: Converting the given statement into mathematical expression
In 1 liter of petrol , the motorcycle runs $31\frac{1}{4}$km ,
So, in $1\frac{3}{5}$ liter petrol it will run,
Distance = $1\frac{3}{5}\times 31\frac{1}{4}$ km
Step 2: Converting the mixed fractions into improper fractions and find the distance covered by motorcycle

𝑀𝑖𝑥𝑒𝑑 𝐹𝑟𝑎𝑐𝑡𝑖𝑜n
=$\frac{Integralpart\times Denominator+Numerator}{Denominator}$

We will use the above formula to convert the mixed fraction into improper fraction
Distance $=\frac{1\times 5+3}{5}\times \frac{31\times 4+1}{4}$
$=\frac{5+3}{5}\times \frac{124+1}{4}$
$=\frac{8}{5}\times \frac{125}{4}$
= 50𝑘𝑚

Hence, the distance covered by motorcycle is 50km.