Which of the following is a fraction equal to 0.0075?
2023
Which of the following is a fraction equal to 0.0075?
- A.
9/25
- B.
3/400
- C.
7/98
- 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:
0.0075 has 4 digits after the decimal point, so it can be written as 75/10000.
The GCD of 75 and 10000 is 25.
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.