Converting 12.072 to a Fraction
Step-by-step explanation of how to convert 12.072 to a fraction

Result

12.072 =
1509
125
Mixed number:
12
9
125

Step 1: Identify the number of decimal places

The decimal 12.072 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

12.072 × 1000 = 12072

Step 3: Write as a fraction

12.072 =

12072
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12072 and 1000.

GCD(12072, 1000) = 8

Divide both the numerator and denominator by the GCD:

12072
1000

=

12072 ÷ 8
1000 ÷ 8

=

1509
125
Related Conversions
Other decimal to fraction conversions you might find useful