Converting 38.2036 to a Fraction
Step-by-step explanation of how to convert 38.2036 to a fraction

Result

38.2036 =
95509
2500
Mixed number:
38
509
2500

Step 1: Identify the number of decimal places

The decimal 38.2036 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.2036 × 10000 = 382036

Step 3: Write as a fraction

38.2036 =

382036
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 382036 and 10000.

GCD(382036, 10000) = 4

Divide both the numerator and denominator by the GCD:

382036
10000

=

382036 ÷ 4
10000 ÷ 4

=

95509
2500
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