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

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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.

  
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