Converting 11.2228 to a Fraction
Step-by-step explanation of how to convert 11.2228 to a fraction

Result

11.2228 =
28057
2500
Mixed number:
11
557
2500

Step 1: Identify the number of decimal places

The decimal 11.2228 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.2228 × 10000 = 112228

Step 3: Write as a fraction

11.2228 =

112228
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 112228 and 10000.

GCD(112228, 10000) = 4

Divide both the numerator and denominator by the GCD:

112228
10000

=

112228 ÷ 4
10000 ÷ 4

=

28057
2500
Related Conversions
Other decimal to fraction conversions you might find useful