Converting 31.0872 to a Fraction
Step-by-step explanation of how to convert 31.0872 to a fraction

Result

31.0872 =
38859
1250
Mixed number:
31
109
1250

Step 1: Identify the number of decimal places

The decimal 31.0872 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.0872 × 10000 = 310872

Step 3: Write as a fraction

31.0872 =

310872
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 310872 and 10000.

GCD(310872, 10000) = 8

Divide both the numerator and denominator by the GCD:

310872
10000

=

310872 ÷ 8
10000 ÷ 8

=

38859
1250
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