Question

Altogether, part of the building is cleaned by both.

• A. $\frac{33}{100}$
• B. $\frac{42}{100}$
• C. $\frac{24}{100}$
• D. $\frac{51}{100}$

Answer 1

The correct option is B $\frac{42}{100}$

$\text{Part of the building cleaned by Max =}\frac{12}{100}$

We can represent this fraction as:


$\text{Part of the building cleaned by Sid =}\frac{3}{10}$

We can represent this fraction as:


$\frac{3}{10}and\frac{12}{100}\text{are unlike fractions.}$

To calculate the total part of the building cleaned by both, convert the fractions into like fractions with the same denominator 100.

$\text{So, we can represent}\frac{3}{10}as:$


Calculating the part of building cleaned by both, we get:

$\frac{12}{100}+$ $\frac{3}{10}=$ $\frac{12}{100}+$ $\frac{30}{100}$

$=\frac{12+30}{100}$

$=\frac{42}{100}$

$\therefore \frac{42}{100}\text{part of the building is cleaned}$ $\text{by both Max and Sid.}$