# Ex.2.4 Q2 fractions-and-decimals Solutions-Ncert Maths Class 7

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## Question

Find the reciprocals of the following fractions. Classify the reciprocals as proper fractions, improper fractions, and whole numbers.

i) \begin{align} \frac{3}{7}\end{align}

ii) \begin{align} \frac{5}{8}\end{align}

iii) \begin{align} \frac{9}{7}\end{align}

iv) \begin{align} \frac{6}{5}\end{align}

v) \begin{align} \frac{{12}}{7}\end{align}

vi) \begin{align} \frac{1}{8}\end{align}

vii) \begin{align} \frac{1}{{11}}\end{align}

Video Solution
Fractions And Decimals
Ex 2.4 | Question 2

## Text Solution

What is known?

Fractions.

What is unknown?

Reciprocal of given fraction.

Reasoning:

Reciprocal means interchanging numerator with denominator.

Steps:

(1) Proper fraction: -In proper fractions numerator is less than the denominator.

(2) Improper fraction: - In improper fractions numerator is greater than the denominator.

(3) Whole number: - It is a collection of positive integers including $$0$$.

i) \begin{align} \frac{3}{7}\end{align}

Reciprocal of \begin{align} \frac{3}{7}\end{align} is \begin{align} \frac{7}{3}\end{align} (Improper fraction)

ii) \begin{align} \frac{5}{8}\end{align}

Reciprocal of \begin{align} \frac{5}{8}\end{align} is \begin{align} \frac{8}{5}\end{align} (Improper fraction)

iii) \begin{align} \frac{9}{7}\end{align}

Reciprocal of \begin{align} \frac{9}{7}\end{align} is \begin{align} \frac{7}{9}\end{align} (Proper fraction)

iv) \begin{align} \frac{6}{5}\end{align}

Reciprocal of \begin{align} \frac{6}{5}\end{align} is \begin{align} \frac{5}{6}\end{align} (Proper fraction)

v) \begin{align} \frac{{12}}{7}\end{align}

Reciprocal of \begin{align} \frac{{12}}{7}\end{align} is \begin{align} \frac{7}{{12}}\end{align} (Proper fraction)

vi) \begin{align} \frac{1}{8}\end{align}

Reciprocal of \begin{align} \frac{1}{8}\end{align} is \begin{align} \frac{8}{1} = 8\end{align} (Whole number)

vii) \begin{align} \frac{1}{{11}}\end{align}

Reciprocal of \begin{align} \frac{1}{{11}}\end{align} is \begin{align} \frac{{11}}{1} = 11\end{align} (Whole number)

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