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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 \(\begin{align}\frac{{ - 96}}{{91}}\end{align}\)