Converting 12.344 to a Fraction
Step-by-step explanation of how to convert 12.344 to a fraction
Result
12.344 =
1543
125
Mixed number:
12
43
125
Step 1: Identify the number of decimal places
The decimal 12.344 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
12.344 × 1000 = 12344
Step 3: Write as a fraction
12.344 =
12344
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 12344 and 1000.
GCD(12344, 1000) = 8
Divide both the numerator and denominator by the GCD:
12344
1000
=
12344 ÷ 8
1000 ÷ 8
=
1543
125
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