Converting 12.1825 to a Fraction
Step-by-step explanation of how to convert 12.1825 to a fraction
Result
12.1825 =
4873
400
Mixed number:
12
73
400
Step 1: Identify the number of decimal places
The decimal 12.1825 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
12.1825 × 10000 = 121825
Step 3: Write as a fraction
12.1825 =
121825
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 121825 and 10000.
GCD(121825, 10000) = 25
Divide both the numerator and denominator by the GCD:
121825
10000
=
121825 ÷ 25
10000 ÷ 25
=
4873
400
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