Converting 30.94744 to a Fraction
Step-by-step explanation of how to convert 30.94744 to a fraction

Result

30.94744 =
386843
12500
Mixed number:
30
11843
12500

Step 1: Identify the number of decimal places

The decimal 30.94744 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

30.94744 × 100000 = 3094744

Step 3: Write as a fraction

30.94744 =

3094744
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3094744 and 100000.

GCD(3094744, 100000) = 8

Divide both the numerator and denominator by the GCD:

3094744
100000

=

3094744 ÷ 8
100000 ÷ 8

=

386843
12500
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