Question

A bag of trail weighs 11 1/2 ounces each serving of trail mix is 3/4 ounce how many servings are in the bag of trail mix? Show your work

Answer 1

So, the bag weights 11
`(1)/(2)`, that is 11.5,, and also that is
`(11*2+1)/(2) = (23)/(2)` correct?

I changed it into an improper fraction, because the division will be easier later.

A serving is
`(3)/(4)`. So what we need to do is the divide the weight of the bag, that is
`(23)/(2)` by the weight of the serving, that is
`(3)/(4)`.

a division by fraction is a multiplication by its inverse, like this:


`(23)/(2)`*
`(4)/(3)`

now we can simplify: the denominator of the first and the nominator of second are multilications of 2:


`(23)/(1)`*
`(2)/(3)= (46)/(3) (1)/(3)`


so there are 15 servings and a little will be left over.