Question

Which of the following represents the multiplicative inverse of -8/11?

1) 8/11
2) 11/8
3) -8/11
4) -11/8

Answer 1

The multiplicative inverse of -8/11 is -11/8, which is option 4 in the given choices.

Step-by-step explanation:

The multiplicative inverse of a number is what you multiply the original number by to get the multiplicative identity, which is 1. In the case of fractions, the multiplicative inverse is simply flipping the numerator and the denominator. Therefore, the multiplicative inverse of -8/11 is obtained by flipping the fraction, resulting in 11/-8, which is the same as -11/8. So out of the given options, the correct one is 4) -11/8.