Answer:
The fraction is [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
we know that
To find the multiplicative inverse of a the given number, find the reciprocal of that number
In this problem
The number is [tex]\frac{4}{9}[/tex]
so
The reciprocal is [tex]\frac{9}{4}[/tex]
therefore
The multiplicative inverse is [tex]\frac{9}{4}[/tex]
[tex]\frac{4}{9}*\frac{9}{4}=1[/tex]
