Converting 11.305 to a Fraction
Step-by-step explanation of how to convert 11.305 to a fraction

Result

11.305 =
2261
200
Mixed number:
11
61
200

Step 1: Identify the number of decimal places

The decimal 11.305 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

11.305 × 1000 = 11305

Step 3: Write as a fraction

11.305 =

11305
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11305 and 1000.

GCD(11305, 1000) = 5

Divide both the numerator and denominator by the GCD:

11305
1000

=

11305 ÷ 5
1000 ÷ 5

=

2261
200
Related Conversions
Other decimal to fraction conversions you might find useful