Question

add 1/5, 1/10, 1/15 ​

Answer 1

To find : sum of rational numbers $\frac{1}{5} ,\frac{1}{10} \ and \ \frac{1}{15}$

Solution:

• As per given condition we write , $\frac{1}{5}+\frac{1}{10} + \frac{1}{15}$

• To find the sum of given rational numbers we get need to equalize denominators of both the rational numbers. By taking LCM

• Therefore, LCM = $30$

• Now, multiplying numerators of rational numbers by same number as multiplied by denominators to make LCM.

• Therefore, we get, $\frac{1}{5}+\frac{1}{10}+ \frac{1}{15} =\frac{1\times6 }{30}+\frac{1 \times 3}{30} + \frac{1\times 2}{30}$

                                                            $= \frac{6 + 3 + 2}{30 } \\=\frac{11}{30}$

   Hence , sum of $\frac{1}{5} ,\frac{1}{10} \ and \ \frac{1}{15}$ is $\frac{11}{30}$ .

 

Answer 2

Given: The numbers are$\frac{1}{5} ,\frac{1}{10} ,\frac{1}{15}$.

We have to add the above numbers.

We are solving in the following way:

We have,

The numbers are$\frac{1}{5} ,\frac{1}{10} ,\frac{1}{15}$

As we know that to find the sum of given rational numbers we need to equalize denominators of both the rational numbers.

For which we will take LCM.

The LCM of the above numbers will be$30$  

By multiplying numerators of rational numbers by the same number as multiplied by denominators to make LCM:

$\begin{aligned}\frac{1}{5}+\frac{1}{10}+\frac{1}{15} &=\frac{1 \times 6}{30}+\frac{1 \times 3}{30}+\frac{1 \times 2}{30} \\\\&=>\frac{6+3+2}{30} \\\\&=>\frac{11}{30}\end{aligned}$

Hence, after solving the above equation we get the solution is$\frac{11}{30}$.