Converting 8.1225 to a Fraction
Step-by-step explanation of how to convert 8.1225 to a fraction

Result

8.1225 =
3249
400
Mixed number:
8
49
400

Step 1: Identify the number of decimal places

The decimal 8.1225 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.1225 × 10000 = 81225

Step 3: Write as a fraction

8.1225 =

81225
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 81225 and 10000.

GCD(81225, 10000) = 25

Divide both the numerator and denominator by the GCD:

81225
10000

=

81225 ÷ 25
10000 ÷ 25

=

3249
400
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