Converting 2.112 to a Fraction
Step-by-step explanation of how to convert 2.112 to a fraction

Result

2.112 =
264
125
Mixed number:
2
14
125

Step 1: Identify the number of decimal places

The decimal 2.112 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.112 × 1000 = 2112

Step 3: Write as a fraction

2.112 =

2112
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2112 and 1000.

GCD(2112, 1000) = 8

Divide both the numerator and denominator by the GCD:

2112
1000

=

2112 ÷ 8
1000 ÷ 8

=

264
125
Related Conversions
Other decimal to fraction conversions you might find useful