Converting 13.946 to a Fraction
Step-by-step explanation of how to convert 13.946 to a fraction

Result

13.946 =
6973
500
Mixed number:
13
473
500

Step 1: Identify the number of decimal places

The decimal 13.946 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.946 × 1000 = 13946

Step 3: Write as a fraction

13.946 =

13946
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13946 and 1000.

GCD(13946, 1000) = 2

Divide both the numerator and denominator by the GCD:

13946
1000

=

13946 ÷ 2
1000 ÷ 2

=

6973
500
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