Question

Nidhi covered $\frac{2}{3}$ of her journey by car, $\frac{1}{5}$ by rickshaw, $\frac{2}{15}$ on foot. Find by which means she covered the major part of her journey.

Answer 1

Let the total journey be $1km$

Therefore,

Distance covered by car = $\frac{2}{3}\times 1=\frac{2}{3}km$

Distance covered by rickshaw = $\frac{1}{5}\times 1=\frac{1}{5}km$

Distance covered on foot = $\frac{2}{15}\times 1=\frac{2}{15}km$

Now, to compare, we will first convert the unlike fractions into like fractions by finding their LCM.

Now, LCM of $3,5$ and $15$ will be $15$ only and $15$ is the the lowest multiple of the three numbers.

Therefore,

$\Rightarrow \frac{2}{3}=\frac{2}{3}\times \frac{5}{5}=\frac{10}{15}$

$\Rightarrow \frac{1}{5}=\frac{1}{5}\times \frac{3}{3}=\frac{3}{15}$ and

$\Rightarrow \frac{2}{15}=\frac{2}{15}\times \frac{1}{1}=\frac{2}{15}$

As, $10>3>2$

Therefore,$\frac{10}{15}>\frac{3}{15}>\frac{2}{15}$

Hence, by car, she covered the major part of her journey.