Simplify the following:
4 + 2/3 - 2 + 3/5
Put 4 + 2/3 - 2 + 3/5 over the common denominator 15. 4 + 2/3 - 2 + 3/5 = (15×4)/15 + (5×2)/15 + (15 (-2))/15 + (3×3)/15:
(15×4)/15 + (5×2)/15 + (15 (-2))/15 + (3×3)/15
15×4 = 60:
60/15 + (5×2)/15 + (15 (-2))/15 + (3×3)/15
5×2 = 10:
60/15 + 10/15 + (15 (-2))/15 + (3×3)/15
15 (-2) = -30:
60/15 + 10/15 + -30/15 + (3×3)/15
3×3 = 9:
60/15 + 10/15 - (30)/15 + 9/1560/15 + 10/15 - 30/15 + 9/15 = (60 + 10 - 30 + 9)/15:
(60 + 10 - 30 + 9)/15
Answer: |49/15= 3 4/15
