Converting 3.312 to a Fraction
Step-by-step explanation of how to convert 3.312 to a fraction

Result

3.312 =
414
125
Mixed number:
3
39
125

Step 1: Identify the number of decimal places

The decimal 3.312 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.312 × 1000 = 3312

Step 3: Write as a fraction

3.312 =

3312
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3312 and 1000.

GCD(3312, 1000) = 8

Divide both the numerator and denominator by the GCD:

3312
1000

=

3312 ÷ 8
1000 ÷ 8

=

414
125
Related Conversions
Other decimal to fraction conversions you might find useful