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: Determine the fraction of pineapple Mwesigwa ate. Mwesigwa ate one fifth of a pineapple. Mwesigwa's share = (1)/(5) Step 2: Calculate the fraction of pineapple remaining after Mwesigwa ate his share. The whole pineapple is represented by 1. Remaining pineapple = 1 - (1)/(5) = (5)/(5) - (1)/(5) = (4)/(5) Step 3: Calculate the fraction of the remaining pineapple that his sister ate. His sister ate three quarters of what was left. Sister's share (of remaining) = (3)/(4) × Remaining pineapple Sister's share (of remaining) = (3)/(4) × (4)/(5) Step 4: Calculate the actual fraction of the whole pineapple that his sister ate. Sister's share (of whole) = (3 × 4)/(4 × 5) = (12)/(20) = (3)/(5) Step 5: Calculate the total fraction of pineapple eaten altogether. Total eaten is the sum of Mwesigwa's share and his sister's share. Total eaten = Mwesigwa's share + Sister's share (of whole) Total eaten = (1)/(5) + (3)/(5) Total eaten = (1+3)/(5) = (4)/(5) The fraction of a pineapple eaten altogether is (4)/(5). That's 2 down. 3 left today — send the next one.