This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Calculate the total fraction of money spent. The man spent (2)/(5) on luxury cars and (1)/(4) on a house. To find the total fraction spent, add these two fractions: Total spent = (2)/(5) + (1)/(4) Find a common denominator, which is 20. (2)/(5) = (2 × 4)/(5 × 4) = (8)/(20) (1)/(4) = (1 × 5)/(4 × 5) = (5)/(20) Now, add the fractions: Total spent = (8)/(20) + (5)/(20) = (8+5)/(20) = (13)/(20) Step 2: Calculate the fraction of money remaining. The total lotto earnings can be represented as 1 (or (20)/(20)). Subtract the total fraction spent from 1: Remaining fraction = 1 - (13)/(20) Remaining fraction = (20)/(20) - (13)/(20) = (20-13)/(20) = (7)/(20) The fraction of his lotto earnings remaining is (7)/(20).