Which of the following is the fraction equivalent to 2.04?
2023
Which of the following is the fraction equivalent to 2.04?
- A.
1/25
- B.
51/25
- C.
12/5
- D.
51/250
Attempted by 3 students.
Show answer & explanation
Correct answer: B
Concept: To convert a decimal into a fraction, write it as (digits)/(power of 10 matching the number of decimal places), then simplify by dividing both terms by their HCF.
Application:
2.04 has 2 digits after the decimal point, so the denominator will be 100.
Write 2.04 as 204/100 (multiply by 100 to clear the decimal point, keeping the denominator as 100).
Find the HCF of 204 and 100: HCF(204, 100) = 4.
Divide both numerator and denominator by 4: 204 ÷ 4 = 51, 100 ÷ 4 = 25.
Result: 51/25, already in lowest terms since HCF(51, 25) = 1.
Cross-check: 51 ÷ 25 = 2.04, confirming the conversion. Also, 25 = 5² and 51 = 3 × 17 share no common factor, so the fraction is fully reduced.