Converting 13.706 to a Fraction
Step-by-step explanation of how to convert 13.706 to a fraction

Result

13.706 =
6853
500
Mixed number:
13
353
500

Step 1: Identify the number of decimal places

The decimal 13.706 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.706 × 1000 = 13706

Step 3: Write as a fraction

13.706 =

13706
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13706 and 1000.

GCD(13706, 1000) = 2

Divide both the numerator and denominator by the GCD:

13706
1000

=

13706 ÷ 2
1000 ÷ 2

=

6853
500
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