Question

Trying to see if my son is on the right track

Answer 1

h=264

Step by step explanation:

As a first step let's look at how to convert mixed numbers to fractions:

`a(b)/(c)=((a\cdot c)+b)/(c)`

Solve for h:

`(1)/(2)h=16(1)/(2)\cdot8`

Convert the mixed number to a fraction:

`\begin{gathered} (1)/(2)h=((16\cdot2)+1)/(2)\cdot8 \\ (1)/(2)h=(33)/(2)\cdot8 \\ (1)/(2)h=(264)/(2) \\ (1)/(2)h=132 \\ \end{gathered}`

Then, by inverse operations to solve equations, we can solve for h by multiplying by 2 on both sides of the equation:

`\begin{gathered} 2\cdot(1)/(2)h=132\cdot2 \\ h=264 \end{gathered}`