Converting 31.2084 to a Fraction
Step-by-step explanation of how to convert 31.2084 to a fraction

Result

31.2084 =
78021
2500
Mixed number:
31
521
2500

Step 1: Identify the number of decimal places

The decimal 31.2084 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.2084 × 10000 = 312084

Step 3: Write as a fraction

31.2084 =

312084
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 312084 and 10000.

GCD(312084, 10000) = 4

Divide both the numerator and denominator by the GCD:

312084
10000

=

312084 ÷ 4
10000 ÷ 4

=

78021
2500
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