Converting 13.086584 to a Fraction
Step-by-step explanation of how to convert 13.086584 to a fraction

Result

13.086584 =
1635823
125000
Mixed number:
13
10823
125000

Step 1: Identify the number of decimal places

The decimal 13.086584 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

13.086584 × 1000000 = 13086584

Step 3: Write as a fraction

13.086584 =

13086584
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13086584 and 1000000.

GCD(13086584, 1000000) = 8

Divide both the numerator and denominator by the GCD:

13086584
1000000

=

13086584 ÷ 8
1000000 ÷ 8

=

1635823
125000
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