How do you convert 0.625 into a fraction?

To convert the decimal 0.625 into a fraction, follow these steps:

  1. Understand the decimal: The decimal 0.625 can be read as “625 thousandths” because there are three digits after the decimal point.
  2. Convert to a fraction: To express this in fraction form, write it as:
  3. 0.625 = \\frac{625}{1000}

  4. Simplify the fraction: The next step is to simplify the fraction. Both the numerator (625) and the denominator (1000) can be divided by their greatest common divisor (GCD), which is 125:
  5. Numerator: 625 ÷ 125 = 5

    Denominator: 1000 ÷ 125 = 8

  6. The simplified fraction: After dividing both the numerator and denominator by 125, we get:
  7. 0.625 = \\frac{5}{8}

Therefore, the decimal 0.625 as a fraction is \( \frac{5}{8} \).

Leave a Comment