Converting 30.11824 to a Fraction
Step-by-step explanation of how to convert 30.11824 to a fraction
Result
30.11824 =
188239
6250
Mixed number:
30
739
6250
Step 1: Identify the number of decimal places
The decimal 30.11824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.11824 × 100000 = 3011824
Step 3: Write as a fraction
30.11824 =
3011824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3011824 and 100000.
GCD(3011824, 100000) = 16
Divide both the numerator and denominator by the GCD:
3011824
100000
=
3011824 ÷ 16
100000 ÷ 16
=
188239
6250
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