Question

A piece of rope is $\frac{15}{49}$ m long. A piece of $\frac{11}{49}$ m is cut from it. What is the Length of the remaining rope?

• A. $\frac{26}{49}$ m
• B. $\frac{27}{49}$ m
• C. $\frac{4}{49}$ m

Answer 1

The correct option is C $\frac{4}{49}$ m

Total length of rope = $\frac{15}{49}m$

Length of rope removed = $\frac{11}{49}m$

Length of remaining rope = Total length of rope - Length of rope removed

$=\frac{15}{49}m-\frac{11}{49}m$

Concept: Both the fractions are like fractions, hence subtract the numerators and place over the same denominator as follows

$\therefore \frac{15}{49}m-\frac{11}{49}m=\frac{15-11}{49}m$

$=\frac{4}{49}m$

Length of the remaining rope is $\frac{4}{49}$ m.