Question

Cosmo cut $\frac{35}{100}$ part of a silk cloth, and Mike cut $\frac{6}{10}$ from the remaining cloth. How much of the cloth is still left?

• A. $\frac{60}{100}$
• B. $\frac{5}{100}$
• C. $\frac{35}{100}$
• D. $\frac{95}{100}$

Answer 1

The correct option is B $\frac{5}{100}$

Total parts of the cloth = 100

Fraction of the parts of the cloth Cosmo cut $=\frac{35}{100}$

$\frac{35}{100}$ means Cosmo took 35 parts out of the total parts of the cloth.

Fraction of the parts of the cloth Mike cut $=\frac{6}{10}$

To find the fraction of parts Mike cut out of the total parts of the cloth, we will find the equivalent fraction of $\frac{6}{10}$.

$\frac{6}{10}=\frac{6\times 10}{10\times 10}=\frac{60}{100}$

(Denominator of equivalent fraction = Total parts of the cloth)

$\frac{60}{100}$ means Mike took 60 parts out of the total parts of the cloth.

Fraction of the cloth used by Cosmo and Mike $=\frac{35}{100}+\frac{60}{100}$
$=\frac{95}{100}$

Remaining fraction of the cloth = 1 - Fraction of the cloth used by Cosmo and Mike

$=\frac{100}{100}-\frac{95}{100}$

$=\frac{5}{100}$

Hence, option C is the correct answer