Priya buys some stationery at Popular bookstore. Her total bill is $2.52. She converts the total cost to a fraction in its simplest form. What is the sum of the numerator and the denominator of this fraction?
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Worked Solution
Step 1: Write $2.52 as a fraction over a power of 10.
$2.52 has 2 decimal places, so the denominator is 100.
$2.52 = 252/100
Step 2: Find the highest common factor (HCF) of 252 and 100.
252 / 2 = 126; 126 / 2 = 63 so 252 = 4 × 63
100 / 2 = 50; 50 / 2 = 25 so 100 = 4 × 25
HCF(252, 100) = 4
Step 3: Simplify by dividing numerator and denominator by 4.
252 / 4 = 63
100 / 4 = 25
Simplified fraction = 63/25
Step 4: Verify 63/25 is fully simplified.
63 = 3² × 7; 25 = 5²
No shared factors, so 63/25 is in its simplest form.
Step 5: Sum of numerator and denominator = 63 + 25 = 88.
Answer: 88
Correct answer: 88
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