Converting 31.312 to a Fraction
Step-by-step explanation of how to convert 31.312 to a fraction

Result

31.312 =
3914
125
Mixed number:
31
39
125

Step 1: Identify the number of decimal places

The decimal 31.312 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

31.312 × 1000 = 31312

Step 3: Write as a fraction

31.312 =

31312
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31312 and 1000.

GCD(31312, 1000) = 8

Divide both the numerator and denominator by the GCD:

31312
1000

=

31312 ÷ 8
1000 ÷ 8

=

3914
125
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