Converting 8.228 to a Fraction
Step-by-step explanation of how to convert 8.228 to a fraction

Result

8.228 =
2057
250
Mixed number:
8
57
250

Step 1: Identify the number of decimal places

The decimal 8.228 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.228 × 1000 = 8228

Step 3: Write as a fraction

8.228 =

8228
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8228 and 1000.

GCD(8228, 1000) = 4

Divide both the numerator and denominator by the GCD:

8228
1000

=

8228 ÷ 4
1000 ÷ 4

=

2057
250
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