Question

the multiplicative inverse of -8/7​

Answer 1

Answer:

-7/8

Step-by-step explanation:

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Answer 2

The multiplicative inverse of - 8/7 is - 7/8

Given :

The number - 8/7

To find :

The multiplicative inverse of - 8/7

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 - 8/7

Let N be the multiplicative inverse of - 8/7

$\displaystyle \sf{ N \times \bigg( - \frac{8}{7} \bigg) = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{\frac{-8}{7}} }$

$\displaystyle \sf{ \implies N = 1 \times \frac{7}{-8} }$

$\displaystyle \sf{ \implies N = -\frac{7}{8} }$

The multiplicative inverse of - 8/7 is - 7/8

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