Question

Rita lives $\frac{3}{4}$ km from school and Veena lives $\frac{2}{3}$ km from school. Who lives farther from school and how much?

Answer 1

Step 1: Converting given fraction into equivalent fractions.

To convert into equivalent form take LCM of denominators and convert them in numbers with the same denominators as LCM.

So, LCM of $4$ and $3$ is $12$,

$\frac{3\times 3}{4\times 3}=\frac{9}{12}$ and $\frac{2\times 4}{3\times 4}=\frac{8}{12}$

Step 2: Comparing the numerator of $\frac{9}{12}$ and $\frac{8}{12}$

Now comparing the numerators we get, $9>8$.

As we know that fraction with larger numerator is larger.

So $\frac{9}{12}>\frac{8}{12}$ , it means Rita lives farther than Veena.

And difference between distance of Rita and Veena is $=\frac{9}{12}-\frac{8}{12}$

$=\frac{1}{12}$

Hence, Rita lives farther than Veena by $\frac{1}{12}$ km.