Question

what is the multiplicative inverse of -4/ 9
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Answer 1

Answer:

Multiplicative inverse of -4/9 is 9/-4 .

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Answer 2

The multiplicative inverse of - 4/9 is - 9/4

Given :

The number - 4/9

To find :

The multiplicative inverse of - 4/9

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 - 4/9

Let N be the multiplicative inverse of - 4/9

$\displaystyle \sf{ N \times \bigg( - \frac{4}{9} \bigg) = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{\bigg( - \frac{4}{9} \bigg)} }$

$\displaystyle \sf{ \implies N = \frac{1}{ \frac{ - 4}{9} } }$

$\displaystyle \sf{ \implies N = 1 \times \frac{9}{-4} }$

$\displaystyle \sf{ \implies N = - \frac{9}{4} }$

The multiplicative inverse of - 4/9 is - 9/4

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