Converting 20.381824 to a Fraction
Step-by-step explanation of how to convert 20.381824 to a fraction
Result
20.381824 =
318466
15625
Mixed number:
20
5966
15625
Step 1: Identify the number of decimal places
The decimal 20.381824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
20.381824 × 1000000 = 20381824
Step 3: Write as a fraction
20.381824 =
20381824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 20381824 and 1000000.
GCD(20381824, 1000000) = 64
Divide both the numerator and denominator by the GCD:
20381824
1000000
=
20381824 ÷ 64
1000000 ÷ 64
=
318466
15625
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