Question

find the multiplicative inverse of the following :3/7​

Answer 1

7/3 is your answer.

... ... ... ...

Answer 2

The multiplicative inverse of 3/7 is 7/3

Given :

The number 3/7

To find :

The multiplicative inverse of 3/7

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 3/7

Let N be the multiplicative inverse of 3/7

$\displaystyle \sf{ N \times \frac{3}{7} = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{\frac{3}{7}} }$

$\displaystyle \sf{ \implies N = 1 \times \frac{7}{3} }$

$\displaystyle \sf{ \implies N = \frac{7}{3} }$

The multiplicative inverse of 3/7 is 7/3

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