Converting 30.69872 to a Fraction
Step-by-step explanation of how to convert 30.69872 to a fraction
Result
30.69872 =
191867
6250
Mixed number:
30
4367
6250
Step 1: Identify the number of decimal places
The decimal 30.69872 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.69872 × 100000 = 3069872
Step 3: Write as a fraction
30.69872 =
3069872
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3069872 and 100000.
GCD(3069872, 100000) = 16
Divide both the numerator and denominator by the GCD:
3069872
100000
=
3069872 ÷ 16
100000 ÷ 16
=
191867
6250
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