Converting 13.829664 to a Fraction
Step-by-step explanation of how to convert 13.829664 to a fraction

Result

13.829664 =
432177
31250
Mixed number:
13
25927
31250

Step 1: Identify the number of decimal places

The decimal 13.829664 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

13.829664 × 1000000 = 13829664

Step 3: Write as a fraction

13.829664 =

13829664
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13829664 and 1000000.

GCD(13829664, 1000000) = 32

Divide both the numerator and denominator by the GCD:

13829664
1000000

=

13829664 ÷ 32
1000000 ÷ 32

=

432177
31250
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