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
`\frac9{12}` servings.

Explanation:

Given: Candace ate
`\frac34` cup of cereal.

The box of cereal states that 1 serving of cereal =
`\frac23` cup.

i.e. 1 cup =
`\frac32` servings [Multiply
`\frac32` both sides]

⇒
`(3)/(4)` cup =
`\frac34*\frac32` servings

=
`\frac9{12}` servings [which is the number of servings she ate]

Hence, Candace ate
`\frac9{12}` servings.