Question

The Multiplicative Inverse Of
5 1/3 is _​

Answer 1

Answer:

3/15

Step-by-step explanation:

5 1/3 is converted to 15/3 then the inverse is 3/15

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Answer 2

Concept:

The multiplicative inverse of a number is defined as a number that produces 1 as the product when multiplied by the original number. The multiplicative inverse of 'a' is 1/a.

A fraction with a numerator equal to or larger than the denominator is called an improper fraction.

Given:

The given number is $5\frac{1}{3}$ .

To find:

The multiplicative inverse of $5\frac{1}{3}$.

Solution:

Convert the given mixed fraction to an improper fraction.

$5\frac{1}{3}=\frac{(5*3)+1}{3}$

$5\frac{1}{3} =\frac{16}{3}$

Calculate the multiplicative inverse.

As the multiplicative inverse of $\frac{a}{b} =\frac{b}{a}$

(∵ $\frac{a}{b}$ × $\frac{b}{a}=1$)

∴ the multiplicative inverse of  $\frac{16}{3} =\frac{3}{16}$

Hence the multiplicative inverse of $5\frac{1}{3}$ is $\frac{3}{16}$.