1

Problem

Find the multiplicative inverse of \$(12/8)\$ and 28.

2

Step

The given numbers are

\$(12/8)\$ and 28

3

Formula

Any given fraction can be converted into its reciprocal by simply swapping the numerator and denominator values: \$ a/b = b/a \$.

4

Step

So in this case, the multiplicative inverse of

\$ 12/8 = 8/12 \$

5

Step

To simplify, divide the numerator and denominator by their greatest common divisor, 4

\$ 8/12 = 2/3 \$

6

Formula

The multiplicative inverse of a number a is another number b such that:\$a times b = 1\$.

7

Step

To find the multiplicative inverse of 28, we need to find a number b such that

\$28 times b = 1\$

\$ b = 1/28 \$

8

Solution

Therefore, the multiplicative inverse is \$ 12/8 = 2/3 \$ and \$28 = 1/28 \$.

9

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

10

Choice-A

These represent the accurate reciprocal values in a multiplication operation

Correct \$(2/3)\$ and \$ 1/28 \$

11

Choice-B

Wrong \$(12/8)\$ and \$ -28 \$

12

Choice-C

These do not represent the accurate multiplicative inverses

Wrong \$-(2/3)\$ and \$ -1/28 \$

13

Choice-D

These inverses aren’t the right ones for multiplication

Wrong \$-(3/2)\$ and -28

14

Step

Option

A

15

Sumup

Please Summarize Choices