How do you convert the decimal 0.36 into a fraction?

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Converting the decimal 0.36 into a fraction involves a few simple steps. Let’s walk through the process:

  1. Understanding the Decimal: The decimal 0.36 can be read as thirty-six hundredths, which indicates that it has two digits after the decimal point.
  2. Setting up the Fraction: Since there are two decimal places, we can express 0.36 as:
    • 0.36 = 36/100
  3. Simplifying the Fraction: Now, we need to simplify the fraction 36/100. To do this, we find the greatest common divisor (GCD) of the numerator (36) and the denominator (100). The GCD of 36 and 100 is 4.
  4. Dividing by the GCD: We divide both the numerator and the denominator by their GCD:
    • 36 ÷ 4 = 9
    • 100 ÷ 4 = 25
  5. Final Fraction: Thus, we obtain the simplified fraction:
    • 0.36 = 9/25

So, the decimal 0.36 converts to the fraction 9/25.

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