Converting 30.09744 to a Fraction
Step-by-step explanation of how to convert 30.09744 to a fraction
Result
30.09744 =
188109
6250
Mixed number:
30
609
6250
Step 1: Identify the number of decimal places
The decimal 30.09744 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
30.09744 × 100000 = 3009744
Step 3: Write as a fraction
30.09744 =
3009744
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3009744 and 100000.
GCD(3009744, 100000) = 16
Divide both the numerator and denominator by the GCD:
3009744
100000
=
3009744 ÷ 16
100000 ÷ 16
=
188109
6250
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