Monica Capoor Solutions for Chapter: Rational Numbers, Exercise 5: EXERCISE

Use the distributive property of multiplication over the addition and simplify $1\frac{1}{7}\times \left(\frac{6}{7}+\frac{-3}{5}\right)$.

Use the distributive property of multiplication over the addition and simplify the following.
$\frac{-2}{7}\times \left(\frac{7}{16}-\frac{21}{4}\right)$

Let the distance covered by the train  in $3\frac{1}{3}$ hours, if it maintains a constant speed of $80\frac{1}{4}$ km$/$hr, be $x$ km. Find the value of $x$ in mixed rational number form.

Mrs Khosla purchased $2\frac{1}{2} \mathrm{kg}$ of mangoes at the rate of $₹25\frac{3}{4}$ per $\mathrm{kg}$ and $1\frac{3}{4} \mathrm{kg}$ of grapes at the rate of $₹15\frac{1}{2}$ per $\mathrm{kg}$. If Mrs Khosla spent $₹M$, then find the value of $M$ as a mixed rational form.

A man had $₹90$ with him. He bought $2\frac{1}{2}$ dozen eggs at $₹22\frac{3}{4}$ per dozen. How much money is left with him?

The perimeter of an isosceles triangle is $18 \mathrm{cm}$. If one of the equal sides is $5\frac{3}{4} \mathrm{cm}$ long, find the measure of the third side. 

The cost of $1 \mathrm{m}$ of table cloth is $₹17\frac{1}{3}$. If the cost of $12\frac{1}{4} \mathrm{m}$ of cloth is written in the form of $₹$$k\frac{a}{b}$, then find the value of $k+a+b$.

If the material required for making one tablecloth is $2\frac{1}{4} \mathrm{m}$, find the length of material that will be sufficient to make $14$ tablecloths.