# Ex.2.3 Q7 fractions-and-decimals Solutions-Ncert Maths Class 7

## Question

A car runs \(16 \rm \,km\) using \(1\) liter of petrol. How much distance will it cover using \(\begin{align} 2\frac{3}{4}\end{align} \) liters of petrol?

## Text Solution

**What is known?**

A car runs \(16 \rm{km}\) using \(1\) liter of petrol.

**What is unknown?**

How much distance car can in \(\begin{align}2\frac{3}{4}\end{align}\) liters of petrol.

**Reasoning: **

By using Unitary Method we can simply multiply \(\begin{align}2\frac{3}{4}\end{align}\) by \(16\) to get how much distance will car cover in \(\begin{align}2\frac{3}{4}\end{align}\) liters.

**Steps:**

Distance covered by the car using \(1\) liter of petrol \(= 16 \rm \,km\)

Distance covered by using \(\begin{align} \left( {2\frac{3}{4} = \frac{{11}}{4}{\rm\,{ liter }}} \right)\end{align} \) of petrol

\[\begin{align} &=\frac{{16}}{1} \times \frac{{11}}{4}\\&= 44\rm \, km\end{align}\]

Thus, \(44\rm \, km\) distance covered by car using \(\begin{align} 2\frac{3}{4}\end{align} \) liters of petrol.