Write 8/12 as a multiple of a unit fraction.

To write 8/12 as a multiple of a unit fraction, we need to find the reciprocal (or multiplicative inverse) of 12/8:

12/8 = 1.5

Reciprocal of 1.5:

1/1.5 = 2/3

To express 8/12 as a multiple of 2/3, we can multiply both the numerator and denominator by the same factor:

8/12 x 2/2 = 16/24

Therefore, 8/12 can be written as the multiple of 2/3 by 16/24.