Converting 3.112 to a Fraction
Step-by-step explanation of how to convert 3.112 to a fraction

Result

3.112 =
389
125
Mixed number:
3
14
125

Step 1: Identify the number of decimal places

The decimal 3.112 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.112 × 1000 = 3112

Step 3: Write as a fraction

3.112 =

3112
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3112 and 1000.

GCD(3112, 1000) = 8

Divide both the numerator and denominator by the GCD:

3112
1000

=

3112 ÷ 8
1000 ÷ 8

=

389
125
Related Conversions
Other decimal to fraction conversions you might find useful