Converting 8.2222 to a Fraction
Step-by-step explanation of how to convert 8.2222 to a fraction

Result

8.2222 =
41111
5000
Mixed number:
8
1111
5000

Step 1: Identify the number of decimal places

The decimal 8.2222 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.2222 × 10000 = 82222

Step 3: Write as a fraction

8.2222 =

82222
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 82222 and 10000.

GCD(82222, 10000) = 2

Divide both the numerator and denominator by the GCD:

82222
10000

=

82222 ÷ 2
10000 ÷ 2

=

41111
5000
Related Conversions
Other decimal to fraction conversions you might find useful