Question

The multiplicative inverse of p
/q is 0

Answer 1

Answer:

if u need the answer in english form then the answer is

p/q.

and if u want the answer in mathematical form then the answer is 1/1 or just 1

Answer 2

The multiplicative inverse of p/q is q/p

Correct question : The multiplicative inverse of p/q is

Given :

The number p/q

To find :

The multiplicative inverse of p/q

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 p/q

Let N be the multiplicative inverse of p/q

$\displaystyle \sf{ N \times \bigg( \frac{p}{q} \bigg) = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{\bigg( \frac{p}{q} \bigg)} }$

$\displaystyle \sf{ \implies N = \frac{1}{ \frac{ p}{q} } }$

$\displaystyle \sf{ \implies N = 1 \times \frac{q}{p} }$

$\displaystyle \sf{ \implies N = \frac{q}{p} }$

The multiplicative inverse of p/q is q/p

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