Question

Chef Roberto baked a 32-pound turkey. He served `5/8` of the turkey to customers at his restaurant. How many pounds of turkey were served?

Answer 1

`20^(lb)`

Explanation:

`color(blue)("A very important set of facts")`

A fraction has a very specific structure and when explaining what they do I tend to use more descriptive names. They also have 'official' names

`("top number")/("bottom number")->("numerator")/("denominator") ->("count")/("size indicator")`

The 'size indicator' (denominator") is an indication how how many 'equally sized bits' you would have to put together to make a whole of something.

The count (numerator) is telling you how many of those 'bits' you actually have.

For addition and or subtraction:
`color(brown)("You can not DIRECTLY add or subtract the counts unless")` `color(brown)("The size indicators are the same.")`

Multiplication is different as explained in this solution
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Answering the question")`

`color(brown)("Explaining")`

We have `5/8` of a 32-pound turkey

In mathematics the word 'of' is usually interpreted as multiply. So we have:

`5/8xx"a bird weighing 32"^("lb")`

This is the same as

`5xx("a bird weighing 32"^("lb"))/8`

So we are cutting the bird up into 8 equal weight 'bits' and we are counting out 5 of those bits.

`color(brown)("Doing the calculation")`

In weight this gives

`5xx(32^(lb))/8 = 5xx4^(lb)=20^(lb)`