# Ex.2.7 Q1 fractions-and-decimals Solutions-Ncert Maths Class 7

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## Question

Find

i) $$0.4 ÷ 2$$

ii) $$0.35 ÷ 5$$

iii) $$2.48 ÷ 4$$

iv) $$65.4 ÷ 6$$

v) $$651.2 ÷ 4$$

vi) $$14.49 ÷ 7$$

vii) $$3.96 ÷ 4$$

viii) $$0.80 ÷ 5$$

Video Solution
Fractions And Decimals
Ex 2.7 | Question 1

## Text Solution

What is known?

One decimal number and one whole number.

What is unknown?

Quotient of following division.

Reasoning:

Covert decimal into fraction then divide it. To divide fractions, multiply the dividend with reciprocal of divisor.

Steps:

i) $$0.4 ÷ 2$$

\begin{align}&=\frac{4}{{10}} \times \frac{1}{2}\left( {0.4 = \frac{4}{{10}}} \right) \\&= \frac{2}{{10}} \\&= \frac{1}{5}\\&= 0.2\\\end{align}

ii) $$0.35 ÷ 5$$

\begin{align}&= 0.35 \times \frac{1}{5} \\&= \frac{{35}}{{100}} \times \frac{1}{5} \left( {0.35 = \frac{{35}}{{100}}} \right) \\&= \frac{7}{{100}} \\&= 0.07 \\\end{align}

iii) $$2.48 ÷ 4$$

\begin{align}&= 2.48 \times \frac{1}{4} \\&= \frac{{248}}{{100}} \times \frac{1}{4} \left( {\because 2.48 = \frac{{248}}{{100}}} \right) \\&= \frac{{62}}{{100}} \\&= 0.62\end{align}

iv) $$65.4 ÷ 6$$

\begin{align}&= 65.4 \times \frac{1}{6} \\&= \frac{{654}}{{10}} \times \frac{1}{6} \left( {\because 65.4 = \frac{{654}}{{10}}} \right) \\&= \frac{{109}}{{10}} \\&= 10.9\end{align}

v) $$651.2 ÷ 4$$

\begin{align}&= 651.2 \times \frac{1}{4} \\&= \frac{{6512}}{{10}} \times \frac{1}{4} \left( {\because 651.2 = \frac{{6512}}{{10}}} \right) \\&= \frac{{1628}}{{10}} \\&= 162.8\end{align}

vi) $$14.49 ÷ 7$$

\begin{align}&= 14.49 \times \frac{1}{7} \\&= \frac{{1449}}{{100}} \times \frac{1}{7}\left( {\because 14.49 = \frac{{1449}}{{100}}} \right) \\&= \frac{{1449}}{{700}}\\&= \frac{{207}}{{100}}\\&= 2.07\end{align}

vii) $$3.96 ÷ 4$$

\begin{align}&= 3.96 \times \frac{1}{4} \\&= \frac{{396}}{{100}} \times \frac{1}{4} \left( {\because 3.96 = \frac{{396}}{{100}}} \right) \\&= \frac{{396}}{{400}} \\&= \frac{{99}}{{100}} \\&= 0.99\end{align}

viii) $$0.80 ÷ 5$$

\begin{align}&= 0.80 \times \frac{1}{5} \\&= \frac{{80}}{{100}} \times \frac{1}{5}\left( {\because 0.80 = \frac{{80}}{{100}}} \right) \\&= \frac{{16}}{{100}} \\&= 0.16\end{align}

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