Converting 31.2208 to a Fraction
Step-by-step explanation of how to convert 31.2208 to a fraction

Result

31.2208 =
19513
625
Mixed number:
31
138
625

Step 1: Identify the number of decimal places

The decimal 31.2208 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.2208 × 10000 = 312208

Step 3: Write as a fraction

31.2208 =

312208
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 312208 and 10000.

GCD(312208, 10000) = 16

Divide both the numerator and denominator by the GCD:

312208
10000

=

312208 ÷ 16
10000 ÷ 16

=

19513
625
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