Question

A tailor has $2\frac{3}{4}$ m of cloth. He needs only $1\frac{1}{5}$ m of cloth to stitch a lab coat. Find the amount of cloth in metres that will be left unused with him?

• A. $\frac{29}{20}$
• B. $\frac{31}{20}$
• C. $\frac{27}{20}$
• D. $\frac{33}{20}$

Answer 1

The correct option is B $\frac{31}{20}$

Cloth left unused by the tailor $=2\frac{3}{4}-1\frac{1}{5}$
$=\frac{11}{4}-\frac{6}{5}$
$=\frac{11\times 5}{4\times 5}-\frac{6\times 4}{5\times 4}$
$=\frac{55}{20}-\frac{24}{20}$
$=\frac{55-24}{20}$
$=\frac{31}{20}$ m