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# Ex.2.7 Q3 fractions-and-decimals Solutions-Ncert Maths Class 7

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## Question

Find:

i) $$2.7 ÷ 100$$

ii) $$0.3 ÷ 100$$

iii) $$0.78 ÷ 100$$

iv) $$432.6 ÷ 100$$

v) $$23.6 ÷ 100$$

vi) $$98.53 ÷ 100$$

Video Solution
Fractions And Decimals
Ex 2.7 | Question 3

## 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) $$2.7 ÷ 100$$

\begin{align}&= 2.7 \times \frac{1}{{100}} \hfill \\&= \frac{{27}}{{10}} \times \frac{1}{{100}} \hfill \\&= \frac{{27}}{{1000}} \hfill \\&= 0.027 \hfill \\\end{align}

ii) $$0.3 ÷ 100$$

\begin{align}&= 0.3 \times \frac{1}{{100}} \hfill \\&= \frac{3}{{10}} \times \frac{1}{{100}} \hfill \\&= \frac{3}{{1000}} \hfill \\&= 0.003 \hfill \\\end{align}

iii) $$0.78 ÷ 100$$

\begin{align}&= 0.78 \times \frac{1}{{100}}\\&= \frac{{78}}{{100}} \times \frac{1}{{100}} \\ &= \frac{{78}}{{10000}} \\&= 0.0078\end{align}

iv) $$432.6 ÷ 100$$

\begin{align}&= 432.6 \times \frac{1}{{100}} \hfill \\&= \frac{{4326}}{{10}} \times \frac{1}{{100}} \hfill \\&= \frac{{4326}}{{1000}} \hfill \\&= 4.326 \hfill \\\end{align}

v) $$23.6 ÷ 100$$

\begin{align}&= 23.6 \times \frac{1}{{100}} \hfill \\&= \frac{{236}}{{10}} \times \frac{1}{{100}} \hfill \\&= \frac{{236}}{{1000}} \hfill \\&= 0.236 \hfill \\\end{align}

vi) $$98.53 ÷ 100$$

\begin{align}&= 98.53 \times \frac{1}{{100}} \\&= \frac{{9853}}{{100}} \times \frac{1}{{100}} \\&= \frac{{9853}}{{10000}}\\&= 0.9853\end{align}

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