Converting 8.225 to a Fraction
Step-by-step explanation of how to convert 8.225 to a fraction

Result

8.225 =
329
40
Mixed number:
8
9
40

Step 1: Identify the number of decimal places

The decimal 8.225 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.225 × 1000 = 8225

Step 3: Write as a fraction

8.225 =

8225
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8225 and 1000.

GCD(8225, 1000) = 25

Divide both the numerator and denominator by the GCD:

8225
1000

=

8225 ÷ 25
1000 ÷ 25

=

329
40
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