Converting 0.11216 to a Fraction
Step-by-step explanation of how to convert 0.11216 to a fraction

Result

0.11216 =
701
6250

Step 1: Identify the number of decimal places

The decimal 0.11216 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.11216 × 100000 = 11216

Step 3: Write as a fraction

0.11216 =

11216
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11216 and 100000.

GCD(11216, 100000) = 16

Divide both the numerator and denominator by the GCD:

11216
100000

=

11216 ÷ 16
100000 ÷ 16

=

701
6250
Related Conversions
Other decimal to fraction conversions you might find useful