Question

Gordon makes 4/5 of a recipe with 2/3 bag of cheese. At this rate, what fraction of the bag of cheese will Gordon use to make the entire recipe?

Answer 1

Answer:

Gordon will use 5/6 of the bag of cheese to make the entire recipe.

Step-by-step explanation:

We are given that Gordon makes 4/5 of a recipe with 2/3 bag of cheese.

And we want to determine what fraction of the bag of cheese Gordon will use to make the entire recipe.

We can write the following ratio:

$\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}$

Find the unit rate. Multiply both layers by 5/4:

$\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}\times \frac{\dfrac{5}{4}}{\dfrac{5}{4}}$

Multiply:

$\displaystyle \frac{\dfrac{5}{6}\text{ bag of cheese}}{1 \text{ recipe}}$

In conclusion, Gordon will use 5/6 of the bag of cheese to make the entire recipe.