Question

A city received $\frac{5}{12}$ cm rainfall on Saturday and $\frac{16}{3}$ cm on Sunday. How much rainfall did it receive in two days?

Answer 1

Step 1: Converting given fraction into equivalent fractions.

Given: A city received $\frac{5}{12}$ cm rainfall on Saturday and $\frac{16}{3}$ cm on Sunday.

So, in two days it receive $\frac{5}{12}+\frac{16}{3}$ cm rainfall.

To convert them into equivalent fractions, take LCM of the denominators.

LCM (least common multiple) of $12$ and $3$ is $12$.

$\frac{5\times 1}{12\times 1}=\frac{5}{12}$ and $\frac{16\times 4}{3\times 4}=\frac{64}{12}$

Step 2: Finding how much rainfall city received in two days.

We get, $\frac{5}{12}+\frac{16}{3}=\frac{5}{12}+\frac{64}{12}$

$$\begin{gathered} \therefore \frac{5}{12}+\frac{64}{12}=\frac{5+64}{12} \\ =\frac{69}{12} \end{gathered}$$

Hence, city received $\frac{69}{12}$ cm rainfall rainfall in two days