Math Mixed Fractions

Question

Which statements below have the same value as 4 ³/₅ - 2 ¹/₅?

Mark all that apply. 

Group of answer choices

(4 - 2) - (³/₅ - ¹/₅)

⁷/₅ - ³/₅

(²⁰/₅ + ³/₅) - (^10/₅ + ¹/₅₎

(4 - 2) + (³/₅ - ¹/₅)

 

Answer 1

We can simplify 4 ³/₅ - 2 ¹/₅ in 2 different ways -- 1. by re-writing as improper fractions 2. keeping the expression written as is.

1. In improper fraction form we get 23/5 - 11/5, this simplifies to 12/5
2. If we keep mixed number format, then we have to subtract the entire second term from the first term -- we can, however, separate the like terms. So we would have the whole numbers: (4-2)=2 and then we also have (3/5 - 1/5)=2/5. We have to add these together so we get 2 2/5, which is equal to 12/5.

If we simplify all of the answer choices, we find (²⁰/₅ + ³/₅) - (^10/₅ + ¹/₅₎ AND (4 - 2) + (³/₅ - ¹/₅) to be the two that equal 12/5