Converting 13.829648 to a Fraction
Step-by-step explanation of how to convert 13.829648 to a fraction

Result

13.829648 =
864353
62500
Mixed number:
13
51853
62500

Step 1: Identify the number of decimal places

The decimal 13.829648 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

13.829648 × 1000000 = 13829648

Step 3: Write as a fraction

13.829648 =

13829648
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13829648 and 1000000.

GCD(13829648, 1000000) = 16

Divide both the numerator and denominator by the GCD:

13829648
1000000

=

13829648 ÷ 16
1000000 ÷ 16

=

864353
62500
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