# Ex.2.4 Q3 fractions-and-decimals Solutions-Ncert Maths Class 7

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## Question

Find:

(i) \begin{align} \frac{7}{3} \div 2\end{align}

(ii) \begin{align} \frac{4}{9} \div 5 \end{align}

(iii) \begin{align} \frac{6}{{13}} \div 7\end{align}

(iv) \begin{align} 4\frac{1}{3} \div 3\end{align}

(v) \begin{align} 3\frac{1}{2} \div 4\end{align}

(vi) \begin{align} 4\frac{3}{7} \div 7\end{align}

Video Solution
Fractions And Decimals
Ex 2.4 | Question 3

## Text Solution

What is known?

Expression.

What is unknown?

Value of the expression.

Reasoning:

To divide fractions take the reciprocal of the divisor and multiply it with dividend.

Steps:

(i) \begin{align} \frac{7}{3} \div 2\end{align}

\begin{align}&= \frac{7}{3} \times \frac{1}{2}\\&= \frac{7}{6}\;({\text{improper fraction}})\end{align}

Converting into mixed fraction,

we get \begin{align} = 1\frac{1}{6} \end{align}

(ii) \begin{align} \frac{4}{9} \div 5 \end{align}

\begin{align}&= \frac{4}{9} \times \frac{1}{5}\\&= \frac{4}{{45}}\end{align}

(iii) \begin{align} \frac{6}{{13}} \div 7\end{align}

\begin{align}& = \frac{6}{{13}} \times \frac{1}{7}\\ &= \frac{6}{{91}}\end{align}

(iv) \begin{align} 4\frac{1}{3} \div 3\end{align}

\begin{align}&= \frac{{13}}{3} \times \frac{1}{3}\\&= \frac{{13}}{9}\;({\text{improper fraction}}) \end{align}

Converting into mixed fraction,

we get \begin{align} = 1\frac{4}{9} \end{align}

(v) \begin{align} 3\frac{1}{2} \div 4\end{align}

\begin{align}&= \frac{7}{2} \times \frac{1}{4}\\&= \frac{7}{8}\end{align}

(vi) \begin{align} 4\frac{3}{7} \div 7\end{align}

\begin{align}&= 4\frac{3}{7} \times \frac{1}{7}\\&= \frac{{31}}{7} \times \frac{1}{7}\\&= \frac{{31}}{{49}}\end{align}

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