Answer: Candace ate [tex]\dfrac9{12}[/tex] servings.
Step-by-step explanation:
Given: Candace ate [tex]\dfrac34[/tex] cup of cereal.
The box of cereal states that 1 serving of cereal = [tex]\dfrac23[/tex] cup.
i.e. 1 cup = [tex]\dfrac32[/tex] servings [Multiply [tex]\dfrac32[/tex] both sides]
⇒ [tex]\dfrac{3}{4}[/tex] cup = [tex]\dfrac34\times\dfrac32[/tex] servings
= [tex]\dfrac9{12}[/tex] servings [which is the number of servings she ate]
Hence, Candace ate [tex]\dfrac9{12}[/tex] servings.
