Convert 0.0155 into fractions?

2025

Convert 0.0155 into fractions?

  1. A.

    31/2000

  2. B.

    33/2000

  3. C.

    31/4000

  4. D.

    35/2000

Attempted by 1 students.

Show answer & explanation

Correct answer: A

Answer: 31/2000

  1. Write the decimal as a fraction with denominator 1 followed by as many zeros as there are decimal places: 0.0155 = 155/10000.

  2. Simplify the fraction by dividing numerator and denominator by their greatest common divisor. gcd(155, 10000) = 5, so 155 ÷ 5 = 31 and 10000 ÷ 5 = 2000, giving 31/2000.

  3. Check: 31 ÷ 2000 = 0.0155, so the simplified fraction is correct.

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