Answer:
8.25 batches.
(Or, if rounding to the lowest amount of batches, 8 batches)
Step-by-step explanation:
We have in total 5 1/2 cups of sugar.
And the recipe calls for 2/3 cups of sugar.
So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:
[tex]5\frac{1}{2}\div\frac{2}{3}[/tex]
Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.
Therefore:
[tex]=\frac{11}{2}\div\frac{2}{3}[/tex]
To divide fractions, we keep, change, and flip. Therefore:
[tex]=\frac{11}{2}\times\frac{3}{2}[/tex]
Multiply straight across:
[tex]=\frac{33}{4}=8.25[/tex]
So, we can make 8.25 batches.
Or, we can make 8 full batches.
