Converting 10.206 to a Fraction
Step-by-step explanation of how to convert 10.206 to a fraction
Result
10.206 =
5103
500
Mixed number:
10
103
500
Step 1: Identify the number of decimal places
The decimal 10.206 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.206 × 1000 = 10206
Step 3: Write as a fraction
10.206 =
10206
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10206 and 1000.
GCD(10206, 1000) = 2
Divide both the numerator and denominator by the GCD:
10206
1000
=
10206 ÷ 2
1000 ÷ 2
=
5103
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions