Converting 8.2276 to a Fraction
Step-by-step explanation of how to convert 8.2276 to a fraction

Result

8.2276 =
20569
2500
Mixed number:
8
569
2500

Step 1: Identify the number of decimal places

The decimal 8.2276 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.2276 × 10000 = 82276

Step 3: Write as a fraction

8.2276 =

82276
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 82276 and 10000.

GCD(82276, 10000) = 4

Divide both the numerator and denominator by the GCD:

82276
10000

=

82276 ÷ 4
10000 ÷ 4

=

20569
2500
Related Conversions
Other decimal to fraction conversions you might find useful