Converting 12.1836 to a Fraction
Step-by-step explanation of how to convert 12.1836 to a fraction
Result
12.1836 =
30459
2500
Mixed number:
12
459
2500
Step 1: Identify the number of decimal places
The decimal 12.1836 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
12.1836 × 10000 = 121836
Step 3: Write as a fraction
12.1836 =
121836
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 121836 and 10000.
GCD(121836, 10000) = 4
Divide both the numerator and denominator by the GCD:
121836
10000
=
121836 ÷ 4
10000 ÷ 4
=
30459
2500
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