Converting 31.3008 to a Fraction
Step-by-step explanation of how to convert 31.3008 to a fraction

Result

31.3008 =
19563
625
Mixed number:
31
188
625

Step 1: Identify the number of decimal places

The decimal 31.3008 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.3008 × 10000 = 313008

Step 3: Write as a fraction

31.3008 =

313008
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 313008 and 10000.

GCD(313008, 10000) = 16

Divide both the numerator and denominator by the GCD:

313008
10000

=

313008 ÷ 16
10000 ÷ 16

=

19563
625
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