Converting 12.312 to a Fraction
Step-by-step explanation of how to convert 12.312 to a fraction

Result

12.312 =
1539
125
Mixed number:
12
39
125

Step 1: Identify the number of decimal places

The decimal 12.312 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

12.312 × 1000 = 12312

Step 3: Write as a fraction

12.312 =

12312
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12312 and 1000.

GCD(12312, 1000) = 8

Divide both the numerator and denominator by the GCD:

12312
1000

=

12312 ÷ 8
1000 ÷ 8

=

1539
125
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