Question

What is the multiplicative inverse of 4/7?
a) 6/16
b) 1 ¾
c) – 7/4
d) – 4/7

Answer 1

multiplicative inverse of 4/7 = 1 ¾

Step-by-step explanation:

we convert 1 ¾ into an improper fraction

(1*4 +3)/4 = 7/4

Inverse of a fraction

Let a and b be two integers of a fraction with a being the numerator and b the denominator. The inverse of the fraction a/b is equal to b/a. We have therefore exchanged the numerator and denominator.

Answer 2

The multiplicative inverse of 4/7 is 7/4, which is option (c).

Step-by-step explanation:

The multiplicative inverse of a fraction is another fraction such that when the two are multiplied together, the product is 1. To find the multiplicative inverse, also known as the reciprocal, you simply flip the numerator and denominator of the fraction. For the fraction 4/7, the multiplicative inverse is 7/4. Therefore, from the given options, the correct one is 7/4, which is option (c).