Question

A piece of cloth is $3\frac{2}{5}m$ long. Dheeraj uses $1\frac{4}{5}m$ of this cloth to make a shirt. How much cloth is left now?

• A. $\frac{9}{5}m$
• B. $\frac{7}{5}m$
• C. $\frac{8}{5}m$
• D. None of these

Answer 1

The correct option is C $\frac{8}{5}m$

Total cloth $=3\frac{2}{5}m$
Converting it to an improper fraction
$3\frac{2}{5}m=\frac{5\times 3+2}{5}=\frac{17}{5}m$


Cloth used in making shirt $=1\frac{4}{5}m$
Converting it to an improper fraction
$1\frac{4}{5}m=\frac{5\times 1+4}{5}=\frac{9}{5}m$

Cloth left = Total cloth - Cloth used in making shirt

$\text{Cloth left}=\frac{17}{5}-\frac{9}{5}$

Now, subtract the two fractions
As the denominators of the fractions are the same, so the numerators can be subtracted directly and the denominator remains the same.
$=\frac{17-9}{5}$

$=\frac{8}{5}$

$\text{Cloth left}=\frac{8}{5}m$