Converting 13.659 to a Fraction
Step-by-step explanation of how to convert 13.659 to a fraction

Result

13.659 =
13659
1000
Mixed number:
13
659
1000

Step 1: Identify the number of decimal places

The decimal 13.659 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.659 × 1000 = 13659

Step 3: Write as a fraction

13.659 =

13659
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13659 and 1000.

GCD(13659, 1000) = 1

Divide both the numerator and denominator by the GCD:

13659
1000

=

13659 ÷ 1
1000 ÷ 1

=

13659
1000
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