To solve this problem you must apply the proccedure shown below:
1. Let's express the quantities as improper fractions.
2. You have that she requires:
[tex]8^{\frac{1}{2} }=\frac{17}{2}[/tex] grams of vanilla paste per batch.
3. And she has:
[tex]22^{\frac{1}{5} } =\frac{111}{5}[/tex] grams of vanilla paste.
3. Therefore, you must divide both quantities to solve the exercise and you can express the result as a mixed number.
[tex]\frac{\frac{111}{5} }{\frac{17}{2} } =\frac{222}{85} =2^{\frac{3}{5} }[/tex]
Therefore, as you can see, the answer is: She can bake [tex]2^{\frac{3}{5} }[/tex] batches of cookies.
