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 fraction of the cake remaining after Ali ate his share. The whole cake is represented by 1. Ali ate (1)/(3) of the cake. Fraction left after Ali = 1 - (1)/(3) = (3)/(3) - (1)/(3) = (2)/(3) Step 2: Calculate the fraction Jason ate. Jason ate (1)/(4) of what was left. "What was left" is (2)/(3) of the cake. Fraction Jason ate = (1)/(4) × (2)/(3) = (1 × 2)/(4 × 3) = (2)/(12) = (1)/(6) Step 3: Calculate the total fraction of the cake eaten by both Ali and Jason. Total eaten = Fraction Ali ate + Fraction Jason ate Total eaten = (1)/(3) + (1)/(6) To add these fractions, find a common denominator, which is 6. Total eaten = (1 × 2)/(3 × 2) + (1)/(6) = (2)/(6) + (1)/(6) = (3)/(6) = (1)/(2) Step 4: Calculate the fraction of the cake that was still uneaten. Fraction uneaten = Whole cake - Total eaten Fraction uneaten = 1 - (1)/(2) = (2)/(2) - (1)/(2) = (1)/(2) The fraction of the cake that was still uneaten is (1)/(2). Send me the next one 📸