Story problems

Question

Patrick ate 1/4 of the cake that was left. There was 2/3 of the cake left. What part of the cake did Patrick eat?

Answer 1

First we need a common denominator. The Lowes Common Denominator is 12

²/₃ * ⁴/₄ = ⁸/₁₂

 

If we divide 8 by 4, we get 2, so Patrick ate 2/12 of the cake. Simplified, that becomes ¹/₆.