Converting 38.2208 to a Fraction
Step-by-step explanation of how to convert 38.2208 to a fraction
Result
38.2208 =
23888
625
Mixed number:
38
138
625
Step 1: Identify the number of decimal places
The decimal 38.2208 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
38.2208 × 10000 = 382208
Step 3: Write as a fraction
38.2208 =
382208
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 382208 and 10000.
GCD(382208, 10000) = 16
Divide both the numerator and denominator by the GCD:
382208
10000
=
382208 ÷ 16
10000 ÷ 16
=
23888
625
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