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

Answer:

$\frac{9}{16}$ cups of raisins are in each serving

Step-by-step 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 = $2\frac{1}{4} = \frac{9}{4}$ 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;

$\text{unit rate per serving} = \frac{\frac{9}{4} }{4} = \frac{9}{16}$ cups of raisins

therefore, $\frac{9}{16}$ cups of raisins are in each serving

Answer 2

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

$\bf \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div 4\implies \cfrac{9}{4}\div \cfrac{4}{1}\implies \cfrac{9}{4}\cdot \cfrac{1}{4}\implies \cfrac{9}{16}$