Question

Find the reciprocal of -4/3×5/8

Answer 1

Given :

$\dfrac{ - 4}{3} \times \dfrac{5}{8}$

To find :

• reciprocal of the given equation.

Solution :

$\implies \dfrac{ - 4}{3} \times \dfrac{5}{8}$

$\implies \dfrac{ - 1}{3} \times \dfrac{5}{2}$

$\implies \dfrac{ - 1 \times 5}{3 \times 2}$

$\implies \dfrac{ - 5}{6}$

reciprocal of -5/6 = -6/5

Answer :

$\dfrac{ - 6}{5}$

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Reciprocal :

Any number or expression which when multiplied by another number or expression gives one as a result. It is also called the multiplicative inverse.

For example , if -6/5 is reciprocal of -5/6 then :-

$\implies \dfrac{ - 5}{6} \times \dfrac{ - 6}{5} = 1$

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Answer 2

Question Given:

Find the reciprocal of $\frac{-4}{3}×\frac{5}{8}$

Solution:

To find the reciprocal of any number we have to switch the numbers i.e. the numerator and the denominator.

$&#x21AA$$\frac{-4}{3}×\frac{5}{8}$

$&#x21AA$$\frac{-4×5}{3×8}$

$&#x21AA$$\dfrac{-20}{24}$

$&#x21AA$$\dfrac{-5}{6}$=$\frac{-6}{5}$

Now, we will find the$\bf\underline\red{Reciprocal:-}$

To find the $\bf\underline\blue{Reciprocal}$ of any given number we have to divide it by $1$

So,

$\frac{-6}{5}÷1$

It will give us:

$\frac{-5}{6}$

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