Question

What is the multiplicative inverse of 5/8

Answer 1

Answer:

This answer is very easy. Multiplicative inverse is also known as reciprocal . The multiplicative inverse of 5/8 is

5/8 = 8/5

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Answer 2

The multiplicative inverse of 5/8 is 8/5

Given :

The number 5/8

To find :

The multiplicative inverse of 5/8

Solution :

Step 1 of 2 :

Define multiplicative inverse of a number

1 is the Multiplicative identity

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

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 5/8

Let N be the multiplicative inverse of 5/8

$\displaystyle \sf{ N \times \frac{5}{8} = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{\frac{5}{8}} }$

$\displaystyle \sf{ \implies N = 1 \times \frac{8}{5} }$

$\displaystyle \sf{ \implies N = \frac{8}{5} }$

The multiplicative inverse of 5/8 is 8/5

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