Question

What is multiplicative inverse of -13/19

Answer 1

Answer:

multiplicative inverse of -13/19 is -19/13

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Answer 2

The multiplicative inverse of - 13/19 is - 19/13

Given :

The number - 13/19

To find :

The multiplicative inverse of - 13/19

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 - 13/19

Let N be the multiplicative inverse of - 13/19

$\displaystyle \sf{ N \times \bigg( - \frac{13}{19} \bigg) = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{\bigg( - \frac{13}{19} \bigg)} }$

$\displaystyle \sf{ \implies N = \frac{1}{ \frac{ -13}{19} } }$

$\displaystyle \sf{ \implies N = - \frac{19}{13} }$

The multiplicative inverse of - 13/19 is - 19/13

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