Question

write the multiplicative inverse of 2/ 3
​

Answer 1

Multiplicative inverse means a number when multiplied, gives +1

Therefore, the answer is : 3/2

Answer 2

The multiplicative inverse of 2/3 is 3/2

Given :

The number 2/3

To find :

The multiplicative inverse of 2/3

Solution :

Step 1 of 2 :

Define multiplicative inverse of a number

1 is the Multiplicative identity

Let M is the multiplicative inverse of N ( ≠ 0 )

Then M × N = 1 = N × M

⇒ M = 1/N

So 1/N is multiplicative inverse of N

Step 2 of 2 :

Find multiplicative inverse of 2/3

Let N be the multiplicative inverse of 2/3

$\displaystyle \sf{ N \times \frac{2}{3} = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{\frac{2}{3}} }$

$\displaystyle \sf{ \implies N = 1 \times \frac{3}{2} }$

$\displaystyle \sf{ \implies N = \frac{3}{2} }$

The multiplicative inverse of 2/3 is 3/2

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If p- 5 gives 12 then p is _____

https://brainly.in/question/22500317

2. A number when subtracted from 40 results into 15. This statement in the form of an equation

https://brainly.in/question/25043268