Answer:
Option d is correct.
[tex]\frac{5}{6}[/tex] of the bag of cheese will Gordon use to make the entire recipe.
Step-by-step explanation:
As per the given condition: Gordon makes 4/5 of a recipe with 2/3 bag of cheese.
⇒ Gordon makes [tex]\frac{4}{5}[/tex] recipe
with [tex]\frac{2}{3}[/tex] bag of cheese used.
Since the question asks to find what fraction of bag of cheese use to make entire recipe, this implies division.
then,
[tex]\frac{2}{3}\div \frac{4}{5}[/tex]
[tex]\frac{2}{3} \times \frac{5}{4} = \frac{5}{6}[/tex]
therefore, [tex]\frac{5}{6}[/tex] of the bag of cheese will Gordon use to make the entire recipe.
