M L Aggarwal Solutions for Chapter: Rational Numbers, Exercise 5: Check Your Progress

Evaluate $4\frac{2}{5}+3\frac{7}{8}$

Evaluate $7\frac{3}{4}-4\frac{3}{5}$

Insert five rational numbers between $\frac{-3}{7}$ and $\frac{2}{5}$.

If $p=\frac{-4}{9}, q=\frac{2}{3}$ and $r=\frac{-8}{11}$, then verify the following

$p+(q+r)=(p+q)+r$

If $p=\frac{-4}{9}, q=\frac{2}{3}$ and $r=\frac{-8}{11}$, then verily the following:

$p\times q=q\times p$

If $p=\frac{-4}{9}, q=\frac{2}{3}$ and $r=\frac{-8}{11}$, then verify the following:

$p\times (q+r)=p\times q+p\times r$

If $p=\frac{-4}{9}, q=\frac{2}{3}$ and $r=\frac{-8}{11}$, then verify the following

$(p+q)÷r=p÷r+q÷r$

A wedding cake weighed $8 \mathrm{kg}$. If $\frac{2}{5}th$ of its weight was flour, $\frac{5}{16}th$ was sugar, $\frac{1}{4}th$ was cream and the rest were nuts, find the weight of nuts.