Converting 10.685 to a Fraction
Step-by-step explanation of how to convert 10.685 to a fraction

Result

10.685 =
2137
200
Mixed number:
10
137
200

Step 1: Identify the number of decimal places

The decimal 10.685 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.685 × 1000 = 10685

Step 3: Write as a fraction

10.685 =

10685
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10685 and 1000.

GCD(10685, 1000) = 5

Divide both the numerator and denominator by the GCD:

10685
1000

=

10685 ÷ 5
1000 ÷ 5

=

2137
200
Related Conversions
Other decimal to fraction conversions you might find useful