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# Ex.1.1 Q6 Rational Numbers Solution - NCERT Maths Class 8

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## Question

Multiply \begin{align}\frac{6}{{13}}\end{align} by the reciprocal of \begin{align}\frac{{ - 7}}{{16}}\end{align}

Video Solution
Rational Numbers
Ex 1.1 | Question 6

## Text Solution

What is known?

Rational numbers.

What is unknown?

Product of the rational numbers.

Reasoning:

Reciprocal of a rational number is its multiplicative inverse.

Steps:

Reciprocal of \begin{align}\frac{-7}{16}\end{align}is \begin{align}\frac{16}{-7}\end{align}

\begin{align}\frac{6}{{13}} \times \end{align} Reciprocal of \begin{align}\frac{7}{{16}}\end{align}

\begin{align}&= \frac{6}{{13}} \times \frac{{16}}{{ - 7}}\\ &= \frac{{6 \times 16}}{{13 \times ( - 7)}}\\& = \frac{{96}}{{ - 91}}\end{align}

Thus answer is \begin{align}\frac{{ - 96}}{{91}}\end{align}

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