Converting 12.3225 to a Fraction
Step-by-step explanation of how to convert 12.3225 to a fraction

Result

12.3225 =
4929
400
Mixed number:
12
129
400

Step 1: Identify the number of decimal places

The decimal 12.3225 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.3225 × 10000 = 123225

Step 3: Write as a fraction

12.3225 =

123225
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 123225 and 10000.

GCD(123225, 10000) = 25

Divide both the numerator and denominator by the GCD:

123225
10000

=

123225 ÷ 25
10000 ÷ 25

=

4929
400
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