For an art project at NTUC FairPrice's school programme, Siti uses 2/3 of a tube of red paint, and her younger brother uses 3/4 as much paint as Siti. What fraction of a tube of red paint did Siti's brother use?
Show Worked Solution
Worked Solution
Step 1: Translate the words into a multiplication. '3/4 as much as Siti' means 3/4 OF Siti's amount, and 'of' means multiply: brother's amount = 3/4 × 2/3.
Step 2: Multiply numerators and denominators. (3 × 2) ÷ (4 × 3) = 6/12.
Step 3: Simplify 6/12 by dividing top and bottom by 6: 6 ÷ 6 = 1, 12 ÷ 6 = 2. So 6/12 = 1/2.
Check (reverse): 1/2 = 6/12 ✓; numerator 6 = 3 × 2 ✓ and denominator 12 = 4 × 3 ✓.
Final answer: 1/2 of a tube.
Answer: 1/2
Correct answer: 1/2
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