Question

write multiplicative inverse of 11|17 Multiply that number
& its multiplicative inverse & write the answer!​

Answer 1

Answer:

Step-by-step explanation:

11/17 multiplicative inverse = 17/11

(11/17)*(17/11)=1

Answer 2

• The multiplicative inverse of 11/17 is 17/11

• Multiplying the number & its multiplicative inverse is 1

Given :

The number 11/17

To find :

• The multiplicative inverse of 11/17

• Multiply that number & its multiplicative inverse

Solution :

Step 1 of 3 :

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 3 :

Find multiplicative inverse of 11/17

Let N be the multiplicative inverse of 11/17

$\displaystyle \sf{ N \times \frac{11}{17} = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{\frac{11}{17}} }$

$\displaystyle \sf{ \implies N = 1 \times \frac{17}{11} }$

$\displaystyle \sf{ \implies N = \frac{17}{11} }$

The multiplicative inverse of 11/17 is 17/11

Step 3 of 3 :

Multiply that number & its multiplicative inverse

Multiplying the number & its multiplicative inverse we get

$\displaystyle \sf{ = \frac{11}{17} \times \frac{17}{11} }$

= 1

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