Question

multiplicative inverse of 3/40​

Answer 1

Answer:

40 /3

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Answer 2

The multiplicative inverse of 3/40 is 40/3

Given :

The number 3/40

To find :

The multiplicative inverse of 3/40

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 3/40

Let N be the required multiplicative inverse of 3/40

$\displaystyle \sf{ N \times \frac{3}{40} = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{\frac{3}{40}} }$

$\displaystyle \sf{ \implies N = 1 \times \frac{40}{3} }$

$\displaystyle \sf{ \implies N = \frac{40}{3} }$

The multiplicative inverse of 3/40 is 40/3

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