Wei Jie completed two parts of his Maths project. He earned 5/8 of the marks for Part A and 1/4 of the marks for Part B (out of the total available across both parts). What is his total score expressed as a decimal of the total available marks?
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Worked Solution
Step 1: Add the two fractions. They have unlike denominators, so find a common denominator. The LCD of 8 and 4 is 8. 1/4 = 2/8. 5/8 + 2/8 = 7/8.
Step 2: Convert 7/8 to a decimal by long division: 7 ÷ 8. 7.000 ÷ 8: 8 goes into 70 → 8 times (8 × 8 = 64), remainder 6. Bring down 0 → 60: 8 goes into 60 → 7 times (8 × 7 = 56), remainder 4. Bring down 0 → 40: 8 goes into 40 → 5 times (8 × 5 = 40), remainder 0. So 7 ÷ 8 = 0.875.
Step 3: His total score as a decimal is 0.875. Check (reverse): 0.875 = 875/1000 = 7/8 (divide top and bottom by 125). ✓
Answer: 0.875
Correct answer: 0.875
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