Question

Is 0.21 the multiplicative inverse of 4 16/21​

Answer 1

Given:

4 16/21​

To find:

Is 0.21 the multiplicative inverse of 4 16/21​

Solution:

Multiplicative inverse - a number which when multiplied by its inverse yields 1.

4 16/21​

= 4 × 16 / 21

= [ 21 × 4 + 16 ]  / 21

= [ 84 + 16 ] / 21

= 100 / 21  .........(1)

From given, we have, 0.21

0.21

= 21 / 100  ..........(2)

Multiplying (1) and (2), we get,

= 100 / 21 × 21 / 100

= 1.

Therefore, 0.21 the multiplicative inverse of 4 16/21​

Answer 2

Step-by-step explanation:

hope it will help.....