Converting 8.8256 to a Fraction
Step-by-step explanation of how to convert 8.8256 to a fraction

Result

8.8256 =
5516
625
Mixed number:
8
516
625

Step 1: Identify the number of decimal places

The decimal 8.8256 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.8256 × 10000 = 88256

Step 3: Write as a fraction

8.8256 =

88256
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 88256 and 10000.

GCD(88256, 10000) = 16

Divide both the numerator and denominator by the GCD:

88256
10000

=

88256 ÷ 16
10000 ÷ 16

=

5516
625
Related Conversions
Other decimal to fraction conversions you might find useful