Question

If $4\frac{2}{5}$ metres is cut from a rope which is $6\frac{1}{2}$ metres long, then how much rope is left?

• A. $2\frac{1}{10}m$
• B. $2\frac{1}{10}m$
• C. $2\frac{1}{15}m$
• D. $3\frac{1}{20}m$

Answer 1

The correct option is A $2\frac{1}{10}m$

Total length of the rope

$=6\frac{1}{2}=\frac{(6\times 2)+1}{2}=\frac{13}{2}m$

Length removed

$=4\frac{2}{5}=\frac{(4\times 5)+2}{5}=\frac{22}{5}m$

Length of the rope left $=\frac{13}{2}-\frac{22}{5}$
$=\frac{13\times 5}{2\times 5}-\frac{22\times 2}{5\times 2}$

$=\frac{65}{10}-\frac{44}{10}$

$=\frac{65-44}{10}$

$=\frac{21}{10}$

$=\frac{(2\times 10)+1}{10}$

$=2\frac{1}{10}m$