Converting 8.0225 to a Fraction
Step-by-step explanation of how to convert 8.0225 to a fraction

Result

8.0225 =
3209
400
Mixed number:
8
9
400

Step 1: Identify the number of decimal places

The decimal 8.0225 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.0225 × 10000 = 80225

Step 3: Write as a fraction

8.0225 =

80225
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 80225 and 10000.

GCD(80225, 10000) = 25

Divide both the numerator and denominator by the GCD:

80225
10000

=

80225 ÷ 25
10000 ÷ 25

=

3209
400
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