Question

Candace ate 3 over 4 cup of cereal. The box of cereal states that one serving of cereal is equal to 2 over 3 cup. Which fraction represents the number of servings Candace ate?

Answer 1

Answer: Candace ate $\dfrac9{12}$  servings.

Step-by-step explanation:

Given: Candace ate $\dfrac34$ cup of cereal.

The box of cereal states that 1 serving of cereal =  $\dfrac23$ cup.

i.e. 1 cup = $\dfrac32$ servings   [Multiply $\dfrac32$ both sides]

⇒ $\dfrac{3}{4}$ cup = $\dfrac34\times\dfrac32$ servings

    =     $\dfrac9{12}$  servings  [which is the number of servings she ate]

Hence, Candace ate $\dfrac9{12}$  servings.