Which of the following is a fraction equal to 0.0075?

2023

Which of the following is a fraction equal to 0.0075?

  1. A.

    9/25

  2. B.

    3/400

  3. C.

    7/98

  4. D.

    9/67

Attempted by 3 students.

Show answer & explanation

Correct answer: B

Concept: To convert a decimal into a fraction, write the decimal digits as the numerator over a power of 10 equal to the number of digits after the decimal point, then simplify by dividing numerator and denominator by their greatest common divisor (GCD).

Application:

  1. 0.0075 has 4 digits after the decimal point, so it can be written as 75/10000.

  2. The GCD of 75 and 10000 is 25.

  3. Dividing both the numerator and denominator by 25 gives 3/400.

Cross-check: Dividing 3 by 400 gives exactly 0.0075, confirming that 3/400 is the correct fraction.

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