Converting 31.8384 to a Fraction
Step-by-step explanation of how to convert 31.8384 to a fraction

Result

31.8384 =
19899
625
Mixed number:
31
524
625

Step 1: Identify the number of decimal places

The decimal 31.8384 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.8384 × 10000 = 318384

Step 3: Write as a fraction

31.8384 =

318384
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 318384 and 10000.

GCD(318384, 10000) = 16

Divide both the numerator and denominator by the GCD:

318384
10000

=

318384 ÷ 16
10000 ÷ 16

=

19899
625
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