Converting 31.82616 to a Fraction
Step-by-step explanation of how to convert 31.82616 to a fraction

Result

31.82616 =
397827
12500
Mixed number:
31
10327
12500

Step 1: Identify the number of decimal places

The decimal 31.82616 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

31.82616 × 100000 = 3182616

Step 3: Write as a fraction

31.82616 =

3182616
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3182616 and 100000.

GCD(3182616, 100000) = 8

Divide both the numerator and denominator by the GCD:

3182616
100000

=

3182616 ÷ 8
100000 ÷ 8

=

397827
12500
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