NCERT Solutions for Chapter: Fractions, Exercise 1: Exercise

Naina is finding the sum,  $4\frac{3}{5}+4\frac{3}{5}$.  Her work along with steps is given below.

$\left(i\right) 4\frac{3}{5}+4\frac{3}{5}=2\times \left(4\frac{3}{5}\right)$

$\left(ii\right) 2\times 4\frac{3}{5}=8\frac{6}{10}$

What can we say about her steps and final answer?

Murali and Vinod were celebrating their birthday. Murali ate $\frac{1}{5}$th of a large pizza. Vinod ate $\frac{1}{8}$th of the pizza more than the pizza ate by Murali. What fraction of the pizza left uneaten?

Anil travels place $A$ to place $B$ and Akhil travels from place $B$ to place $A$. Anil travels one-third of the distance and Akhil travels one-fourth of the distance. the distance travelled by Anil is one kilometre more than the distance travelled by Akhil. What is the distance between place $A$ and place $B$? (In km)

What is the number exactly halfway between $\frac{1}{10}$ and $\frac{1}{8}$?

A water bottle is $\frac{3}{5}$ full and $\frac{1}{7}$ of the water is drawn. How much wate is remaining in the bottle?

$\frac{13}{17}\times \frac{17}{13}=$_____

State whether the following expression is true or false.

$4\frac{1}{5}÷4\frac{1}{5}=1$

Simplify: $2^{-3}+3^{-2}+4$