Converting 13.82852 to a Fraction
Step-by-step explanation of how to convert 13.82852 to a fraction

Result

13.82852 =
345713
25000
Mixed number:
13
20713
25000

Step 1: Identify the number of decimal places

The decimal 13.82852 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.82852 × 100000 = 1382852

Step 3: Write as a fraction

13.82852 =

1382852
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1382852 and 100000.

GCD(1382852, 100000) = 4

Divide both the numerator and denominator by the GCD:

1382852
100000

=

1382852 ÷ 4
100000 ÷ 4

=

345713
25000
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