Converting 13.82768 to a Fraction
Step-by-step explanation of how to convert 13.82768 to a fraction

Result

13.82768 =
86423
6250
Mixed number:
13
5173
6250

Step 1: Identify the number of decimal places

The decimal 13.82768 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.82768 × 100000 = 1382768

Step 3: Write as a fraction

13.82768 =

1382768
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1382768 and 100000.

GCD(1382768, 100000) = 16

Divide both the numerator and denominator by the GCD:

1382768
100000

=

1382768 ÷ 16
100000 ÷ 16

=

86423
6250
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