For a baking project, Aisha used 5/8 kg of flour for prata, then gave away 1/3 kg to a neighbour, and finally bought another 1/4 kg from the provision shop. How much flour does she have now, in kilograms?
Show Worked Solution
Worked Solution
Step 1: Set up the expression from the story. She started with 5/8, gave away 1/3 (subtract) and bought 1/4 more (add): 5/8 − 1/3 + 1/4.\n
Step 2: Find the LCD of 8, 3 and 4. Multiples of 8: 8, 16, 24. Check 24 ÷ 3 = 8 ✓ and 24 ÷ 4 = 6 ✓. So LCD = 24.\n
Step 3: Convert each fraction to 24ths:\n 5/8 = (5×3)/(8×3) = 15/24\n 1/3 = (1×8)/(3×8) = 8/24\n 1/4 = (1×6)/(4×6) = 6/24\n
Step 4: Combine the numerators: 15 − 8 + 6 = 13.\n
Step 5: Final answer: 13/24 kg. Check: 13 and 24 share no common factor, so it is already in lowest terms.
Answer: 13/24
Correct answer: 13/24
Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.
Start Free Trial — 7 Days Free