which fraction would make this equation true using multiplicative inverse 4/9 × = 1

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

4/9x = 1

Determine what fraction will make the equation true.

Solution:

Since we are asked for the multiplicative inverse, then it simply means that the value of x is the reciprocal of 4/9. The reciprocal of a fraction is its opposite value, whereas the denominator becomes the numerator and denominator becomes the numerator. In our case  4/9 multiplicative inverse is 9/4.

= (4/9) (9/4)

= 1

FInal answer:

x = 9/4