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

The given numbers are

\$(12/8)\$ and 28

Any given fraction can be converted into its reciprocal by simply swapping the numerator and denominator values

\$ "a"/"b" = "b"/"a" \$

So in this case, the multiplicative inverse of

\$ 12/8 = 8/12 \$

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

\$ 8/12 = 2/3 \$

The multiplicative inverse of a number a is another number b such that

a × b = 1

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

28 × b = 1
\$ b = 1/28 \$

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

These represent the accurate reciprocal values in a multiplication operation

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

- 28 doesn’t function as the multiplicative inverse for itself

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

These do not represent the accurate multiplicative inverses

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

These inverses aren’t the right ones for multiplication

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

Option

A

Can you summarize what you’ve understood in the above steps?