Question

Multiply 7/8 by the multiplicative inverse of -21/16

Answer 1

Doode....

Multiplicative inverse of -21/16 is-16/21

We have to multiply 7/8×-16/21

=> 7/8 × -16/21


=> 1/8 × -16/3


=> 1/1 × -2/3


=> -2/3 is your answer...

Answer 2

Multiplying 7/8 by the multiplicative inverse of - 21/16 we get - 2/3

Given :

The number - 21/16

To find :

Multiply 7/8 by the multiplicative inverse of - 21/16

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 - 21/16

Let N be the multiplicative inverse of - 21/16

$\displaystyle \sf{ N \times \bigg( - \frac{21}{16} \bigg) = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{\bigg( - \frac{21}{16} \bigg)} }$

$\displaystyle \sf{ \implies N = \frac{1}{ \frac{ - 21}{16} } }$

$\displaystyle \sf{ \implies N = 1 \times \frac{16}{-21} }$

$\displaystyle \sf{ \implies N = - \frac{16}{21} }$

The multiplicative inverse of - 21/16 is - 16/21

Step 3 of 3 :

Multiply 7/8 by the multiplicative inverse of - 21/16

The multiplicative inverse of - 21/16 is - 16/21

Multiplying 7/8 by the multiplicative inverse of - 21/16 we get

$\displaystyle \sf{ = \frac{7}{8} \times \bigg( - \frac{16}{21} \bigg) }$

$\displaystyle \sf{ = - \bigg( \frac{7}{8} \times \frac{16}{21} \bigg) }$

$\displaystyle \sf{ = - \frac{2}{3} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ find the multiplicative inverse of - 13

https://brainly.in/question/18470186

2. Find the sum of additive inverse and multiplicative inverse of 5

https://brainly.in/question/1174847

#SPJ3