Converting 30.13744 to a Fraction
Step-by-step explanation of how to convert 30.13744 to a fraction

Result

30.13744 =
188359
6250
Mixed number:
30
859
6250

Step 1: Identify the number of decimal places

The decimal 30.13744 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

30.13744 × 100000 = 3013744

Step 3: Write as a fraction

30.13744 =

3013744
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3013744 and 100000.

GCD(3013744, 100000) = 16

Divide both the numerator and denominator by the GCD:

3013744
100000

=

3013744 ÷ 16
100000 ÷ 16

=

188359
6250
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