Question

what is the multiplicative inverse of 5 upon 3​

Answer 1

Multiplicative inverse of 5 upon 3 is 3/5.

Answer 2

AnsWer :

3/5.

Solution :

Q. What do you mean by Multiplicative Inverse ?

• When taking a number their product of a number and it's reciprocal ( 1/x ) here, x donote a number is equal to 1.
• Other name of Multiplicative Inverse ( reciprocal )

We have number,

$\tt\dagger \: \: \: \: \: \dfrac{5}{3}$

$\tt \longmapsto \dfrac{5}{3} \times \dfrac{1}{ \frac{5}{3} }$

$\tt\longmapsto \dfrac{5}{3} \times 1 \times \dfrac{3}{5}$

$\tt \longmapsto \dfrac{5}{3} \times \dfrac{3}{5}$

$\tt\longmapsto 1.$

Therefore, the Multiplicative inverse of 5/3 be 3/5.

$\rule{200}3$

$\tt Note \begin{cases} \sf{So, We\: can \: say \: that \: any} \\ \sf{ Multiplicative\: Inverse \: can \: be} \\ \sf{express\: product \:of \: given \: number } \end{cases}$

$\tt Note \begin{cases} \sf{ then, Our \: Equation \: become \: 1.} \\ \sf{ x \times \dfrac{1}{x} \: always } \\ \sf{ equal \: to 1. } \end{cases}$

$\rule{90}1$

Example 1.

To find Multiplicative inverse of 7/2.

$\tt \longmapsto \dfrac{7}{2}$

$\tt\longmapsto \dfrac{7}{2} \times \dfrac{2}{7}$

$\tt \longmapsto 1.$

Answer : 2/7 ( Multiplicative inverse of given number )

$\rule{90}1$

Example 2.

To find Multiplicative inverse of 2.

$\tt \longmapsto 2$

$\tt\longmapsto 2 \times \dfrac{1}{2}$

$\tt \longmapsto 1.$

Answer : 1/2 ( Multiplicative inverse of given number )

$\rule{90}1$

Example 3.

To find Multiplicative inverse of 1/x.

$\tt \longmapsto \dfrac{1}{x}$

$\tt\longmapsto \dfrac{1}{x} \times \dfrac{x}{1}$

$\tt \longmapsto 1.$

Answer : x ( Multiplicative inverse of given number )

$\rule{90}1$

Example 4.

To find Multiplicative inverse of 1/y.

$\tt \longmapsto \dfrac{1}{y}$

$\tt\longmapsto \dfrac{1}{y} \times \dfrac{y}{1}$

$\tt \longmapsto 1.$

Answer : y ( Multiplicative inverse of given number )

$\rule{90}1$

Example 5.

To find Multiplicative inverse of x.

$\tt \longmapsto x$

$\tt\longmapsto x\times \dfrac{1}{x}$

$\tt \longmapsto 1.$

Answer : 1/x ( Multiplicative inverse of given number )