Converting 38.71824 to a Fraction
Step-by-step explanation of how to convert 38.71824 to a fraction

Result

38.71824 =
241989
6250
Mixed number:
38
4489
6250

Step 1: Identify the number of decimal places

The decimal 38.71824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

38.71824 × 100000 = 3871824

Step 3: Write as a fraction

38.71824 =

3871824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3871824 and 100000.

GCD(3871824, 100000) = 16

Divide both the numerator and denominator by the GCD:

3871824
100000

=

3871824 ÷ 16
100000 ÷ 16

=

241989
6250
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