Converting 13.12824 to a Fraction
Step-by-step explanation of how to convert 13.12824 to a fraction

Result

13.12824 =
164103
12500
Mixed number:
13
1603
12500

Step 1: Identify the number of decimal places

The decimal 13.12824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.12824 × 100000 = 1312824

Step 3: Write as a fraction

13.12824 =

1312824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1312824 and 100000.

GCD(1312824, 100000) = 8

Divide both the numerator and denominator by the GCD:

1312824
100000

=

1312824 ÷ 8
100000 ÷ 8

=

164103
12500
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