Converting 10.066 to a Fraction
Step-by-step explanation of how to convert 10.066 to a fraction

Result

10.066 =
5033
500
Mixed number:
10
33
500

Step 1: Identify the number of decimal places

The decimal 10.066 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.066 × 1000 = 10066

Step 3: Write as a fraction

10.066 =

10066
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10066 and 1000.

GCD(10066, 1000) = 2

Divide both the numerator and denominator by the GCD:

10066
1000

=

10066 ÷ 2
1000 ÷ 2

=

5033
500
Related Conversions
Other decimal to fraction conversions you might find useful