Converting 12.335 to a Fraction
Step-by-step explanation of how to convert 12.335 to a fraction
Result
12.335 =
2467
200
Mixed number:
12
67
200
Step 1: Identify the number of decimal places
The decimal 12.335 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
12.335 × 1000 = 12335
Step 3: Write as a fraction
12.335 =
12335
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 12335 and 1000.
GCD(12335, 1000) = 5
Divide both the numerator and denominator by the GCD:
12335
1000
=
12335 ÷ 5
1000 ÷ 5
=
2467
200
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