Converting 12.0218 to a Fraction
Step-by-step explanation of how to convert 12.0218 to a fraction
Result
12.0218 =
60109
5000
Mixed number:
12
109
5000
Step 1: Identify the number of decimal places
The decimal 12.0218 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
12.0218 × 10000 = 120218
Step 3: Write as a fraction
12.0218 =
120218
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 120218 and 10000.
GCD(120218, 10000) = 2
Divide both the numerator and denominator by the GCD:
120218
10000
=
120218 ÷ 2
10000 ÷ 2
=
60109
5000
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