Converting 31.1596 to a Fraction
Step-by-step explanation of how to convert 31.1596 to a fraction

Result

31.1596 =
77899
2500
Mixed number:
31
399
2500

Step 1: Identify the number of decimal places

The decimal 31.1596 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.1596 × 10000 = 311596

Step 3: Write as a fraction

31.1596 =

311596
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 311596 and 10000.

GCD(311596, 10000) = 4

Divide both the numerator and denominator by the GCD:

311596
10000

=

311596 ÷ 4
10000 ÷ 4

=

77899
2500
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