Converting 8.226 to a Fraction
Step-by-step explanation of how to convert 8.226 to a fraction

Result

8.226 =
4113
500
Mixed number:
8
113
500

Step 1: Identify the number of decimal places

The decimal 8.226 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.226 × 1000 = 8226

Step 3: Write as a fraction

8.226 =

8226
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8226 and 1000.

GCD(8226, 1000) = 2

Divide both the numerator and denominator by the GCD:

8226
1000

=

8226 ÷ 2
1000 ÷ 2

=

4113
500
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