Converting 30.75864 to a Fraction
Step-by-step explanation of how to convert 30.75864 to a fraction

Result

30.75864 =
384483
12500
Mixed number:
30
9483
12500

Step 1: Identify the number of decimal places

The decimal 30.75864 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

30.75864 × 100000 = 3075864

Step 3: Write as a fraction

30.75864 =

3075864
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3075864 and 100000.

GCD(3075864, 100000) = 8

Divide both the numerator and denominator by the GCD:

3075864
100000

=

3075864 ÷ 8
100000 ÷ 8

=

384483
12500
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