Question

What is the multiplicative inverse of 2/3 ?​

Answer 1

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.

Answer 2

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.