Question

The bake star bakery uses 2 1/4 cups of raisins to make 4 servings of trail mix. How many cups of raisins are in each serving?

Answer 1

let's firstly convert the mixed fraction to improper fraction, and then divide it by 4 to see what our quotient is.

`\bf \stackrel{mixed}{2(1)/(4)}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}/ 4\implies \cfrac{9}{4}/ \cfrac{4}{1}\implies \cfrac{9}{4}\cdot \cfrac{1}{4}\implies \cfrac{9}{16}`

Answer 2

`(9)/(16)` cups of raisins are in each serving

Explanation:

Unit rate defined as the rates are expressed as a quantity as 1 such as 2 meter per seconds or 4 miles per hour.

As per the statement:

The bake star bakery uses 2 1/4 cups of raisins to make 4 servings of trail mix.

⇒Cup of raisins =
`2(1)/(4) = (9)/(4)` and number of serving = 4

We have to find the cups of raisins are in each serving

Then by definition of unit rate we have;

`\text{unit rate per serving} = ((9)/(4) )/(4) = (9)/(16)` cups of raisins

therefore,
`(9)/(16)` cups of raisins are in each serving