luke rode his bicycle 2/5 mile from his house to the library. he then rode 1/2 mile from the library to the mall

Question

sketch a fraction model to  find the total distance that luke rode

Answer 1

At the basis, we have:

²/₅ + ¹/₂

What we don't have, though is a common denominator. The lowest common denominator in this case would be 2 * 5, or 10.

 

²/₅ * ²/₂ + ¹/₂ * ⁵/₅

The 2/2 and 5/5 is multiplying by 1, so those values do not change:

⁴/₁₀ + ⁵/₁₀ = ⁹/₁₀