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

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

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{(2)/(3)\text{ bag of cheese}}{(4)/(5)\text{ recipe}}`

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

`\displaystyle \frac{(2)/(3)\text{ bag of cheese}}{(4)/(5)\text{ recipe}}* ((5)/(4))/((5)/(4))`

Multiply:

`\displaystyle \frac{(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.