Alka Tuli and Rajesh Hassija Solutions for Chapter: Fractions, Exercise 3: Exercise

A rope is $3\frac{3}{7} \mathrm{m}$  long. It is cut into $8$ pieces of equal length. Find the length of each piece.

The cost of $6\frac{1}{2} \mathrm{kg}$  of apples is $₹520$. If is the rate of one $\mathrm{kg}$ of apples is $₹k$ then find $k$.

A truck can travel a distance of  $471\frac{3}{4} \mathrm{km}$  in $18\frac{1}{2}$ hours. If the distance travelled by truck in $1$ hour is $x\frac{1}{2} \mathrm{km}$, then find $x$.

By what number should $6\frac{2}{9}$ be multiplied to get $42$?

Simplify the following.
$\left(\frac{2}{9}÷\frac{3}{5}\right)÷\frac{6}{5}\mathrm{of}\left(\frac{3}{5}\times \frac{2}{15}\right)$

Simplify the following and write the answer as a mixed fraction
$\left(\frac{13}{4}-\frac{3}{4}\right)÷\left(\frac{17}{9}-\frac{1}{2}\right)$

Simplify the following and express the answer as a mixed fraction.
$2\frac{2}{7}÷1\frac{4}{11}\times 2\frac{4}{9}$

Simplify the following and express the answer as a fraction
$1\frac{4}{13}\times 7\frac{4}{5}÷11\frac{1}{3}$