Respuesta :

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

9/16 + 1/16 * (2/3)^(-1)

Step 02:

we must apply the algebraic rules to find the solution

[tex]\frac{9}{16}+\frac{1}{16}\cdot(\frac{2}{3})^{-1}=\frac{9}{16}+\frac{1}{16}\cdot\frac{3}{2}=\frac{9}{16}+\frac{3}{32}[/tex][tex]\frac{9\cdot2+3\cdot1}{32}=\frac{21}{32}[/tex]

The answer is:

21 / 32