How can I convert the decimal 0.375 into a fraction?

by

To convert the decimal 0.375 into a fraction, follow these steps:

  1. Identify the place value:
    The decimal 0.375 has three decimal places. This means it is in the thousandths place.
  2. Write it as a fraction:
    You can express 0.375 as 375/1000, since 375 is in the thousandths.
  3. Simplify the fraction:
    To simplify 375/1000, find the greatest common divisor (GCD) of 375 and 1000. The GCD is 125.
  4. Divide the numerator and the denominator by their GCD:
    375 ÷ 125 = 3 and 1000 ÷ 125 = 8. So, 375/1000 simplifies to 3/8.
  5. Final Answer:
    Therefore, the decimal 0.375 can be expressed as the fraction 3/8.

In summary, 0.375 as a fraction is 3/8. This method can be applied to any decimal to convert it to a fraction by determining the appropriate place value and simplifying the fraction as needed.

Leave a Comment