Converting 13.8525 to a Fraction
Step-by-step explanation of how to convert 13.8525 to a fraction

Result

13.8525 =
5541
400
Mixed number:
13
341
400

Step 1: Identify the number of decimal places

The decimal 13.8525 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.8525 × 10000 = 138525

Step 3: Write as a fraction

13.8525 =

138525
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 138525 and 10000.

GCD(138525, 10000) = 25

Divide both the numerator and denominator by the GCD:

138525
10000

=

138525 ÷ 25
10000 ÷ 25

=

5541
400
Related Conversions
Other decimal to fraction conversions you might find useful