Question

Seema bought $1\frac{5}{7}$m cloth for her dress. If the designer uses $1\frac{1}{3}$m for making the dress , then the length of the remaining cloth is ___ m.

• A. $2\frac{4}{7}$
• B. $\frac{8}{21}$
• C. $1\frac{8}{21}$
• D. $\frac{8}{7}$

Answer 1

The correct option is B $\frac{8}{21}$

Seema bought $1\frac{5}{7}$ m cloth for her dress. Designer uses $1\frac{1}{3}$ m for making the dress.

Length of the remaining cloth
= (Total length of the cloth bought - length of the cloth used)

$=1\frac{5}{7}-1\frac{1}{3}$

$=\frac{12}{7}-\frac{4}{3}$

$=\frac{12\times 3}{7\times 3}-\frac{4\times 7}{3\times 7}$

$=\frac{36}{21}-\frac{28}{21}$

$=\frac{36-28}{21}$

$=\frac{8}{21}$

Hence, length of the remaining cloth will be $\frac{8}{21}$ m.