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: Identify the initial amount of milk and the amount of milk used. Grace initially had (7)/(8) litres of milk. She used (2)/(3) litres of milk. Step 2: Subtract the amount of milk used from the initial amount to find the remaining milk. To subtract fractions, find a common denominator. The least common multiple (LCM) of 8 and 3 is 24. Step 3: Convert the fractions to equivalent fractions with the common denominator. For (7)/(8): (7)/(8) = (7 × 3)/(8 × 3) = (21)/(24) For (2)/(3): (2)/(3) = (2 × 8)/(3 × 8) = (16)/(24) Step 4: Perform the subtraction. Remaining milk = (21)/(24) - (16)/(24) Remaining milk = (21 - 16)/(24) Remaining milk = (5)/(24) The fraction of milk that remained is (5)/(24). 3 done, 2 left today. You're making progress.