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: Find the total fraction of cake given away. To add the fractions (1)/(3) and (2)/(5), find a common denominator, which is 15. (1)/(3) + (2)/(5) = (1 × 5)/(3 × 5) + (2 × 3)/(5 × 3) = (5)/(15) + (6)/(15) = (5+6)/(15) = (11)/(15) Step 2: Subtract the total fraction given away from the whole cake (which is 1). 1 - (11)/(15) = (15)/(15) - (11)/(15) = (15-11)/(15) = (4)/(15) The remaining fraction of cake is (4)/(15). Send me the next one 📸