Converting 12.0825 to a Fraction
Step-by-step explanation of how to convert 12.0825 to a fraction

Result

12.0825 =
4833
400
Mixed number:
12
33
400

Step 1: Identify the number of decimal places

The decimal 12.0825 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.0825 × 10000 = 120825

Step 3: Write as a fraction

12.0825 =

120825
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 120825 and 10000.

GCD(120825, 10000) = 25

Divide both the numerator and denominator by the GCD:

120825
10000

=

120825 ÷ 25
10000 ÷ 25

=

4833
400
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