What is the multiplicative inverse of 2/3 ?

Question

asked Mar 5, 2024 164k views

2 Answers

Rasheen · Answer 1 · 2024-03-07T11:00:56+0000

Answer: 3/2

Explanation:

Multiplicative inverses

In order to find the multiplicative inverse of a number, flop it over.

If we flop over the number 2/3, we'll end up with 3/2.

Therefore, 3/2 is the multiplicative inverse (or reciprocal) of 2/3.

Maurits Van Beusekom · Answer 2 · 2024-03-10T08:13:41+0000

Hello!

Answer:

$\Large \boxed{\sf (3)/(2) }$

Explanation:

→ The multiplicative inverse of a number multiplied by the original number, equals 1.

→ So we have this equation:

$\sf (2)/(3) * x = 1$

→ Let's solve this equation to find the multiplicative inverse of 2/3:

◼ Simplify the left side:

$\sf (2x)/(3) = 1$

◼ Multiply both sides by 3:

$\sf (2x)/(3) * 3 = 1 * 3$

◼ Simplify both sides:

$\sf 2x = 3$

◼ Divide both sides by 2:

$\sf (2x)/(2) = (3)/(2)$

◼ Simplify both sides:

$\boxed{\sf x = (3)/(2) }$

Conclusion:

The multiplicative inverse of 2/3 is 3/2.