A bottle of cooking oil at NTUC Fairprice is 0.45 ℓ. Express 0.45 as a fraction in its simplest form.
Show Worked Solution
Worked Solution
Step 1: Write the decimal as a fraction using place value.
0.45 = 45 hundredths = 45/100
Step 2: Find the GCD of 45 and 100.
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
GCD = 5
Step 3: Simplify by dividing numerator and denominator by 5.
45 ÷ 5 = 9
100 ÷ 5 = 20
→ 9/20
Step 4: Verify that 9/20 is in simplest form.
GCD(9, 20) = 1 ✓ (9 = 3² ; 20 = 4 × 5 — no common factor)
Step 5: Check by converting back.
9 ÷ 20 = 0.45 ✓
Answer: 9/20
Answer: 9/20
Correct answer: 9/20
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