Converting 13.3825 to a Fraction
Step-by-step explanation of how to convert 13.3825 to a fraction

Result

13.3825 =
5353
400
Mixed number:
13
153
400

Step 1: Identify the number of decimal places

The decimal 13.3825 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.3825 × 10000 = 133825

Step 3: Write as a fraction

13.3825 =

133825
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 133825 and 10000.

GCD(133825, 10000) = 25

Divide both the numerator and denominator by the GCD:

133825
10000

=

133825 ÷ 25
10000 ÷ 25

=

5353
400
Related Conversions
Other decimal to fraction conversions you might find useful