Converting 31.3184 to a Fraction
Step-by-step explanation of how to convert 31.3184 to a fraction

Result

31.3184 =
19574
625
Mixed number:
31
199
625

Step 1: Identify the number of decimal places

The decimal 31.3184 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.3184 × 10000 = 313184

Step 3: Write as a fraction

31.3184 =

313184
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 313184 and 10000.

GCD(313184, 10000) = 16

Divide both the numerator and denominator by the GCD:

313184
10000

=

313184 ÷ 16
10000 ÷ 16

=

19574
625
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