Converting 13.8325 to a Fraction
Step-by-step explanation of how to convert 13.8325 to a fraction

Result

13.8325 =
5533
400
Mixed number:
13
333
400

Step 1: Identify the number of decimal places

The decimal 13.8325 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.8325 × 10000 = 138325

Step 3: Write as a fraction

13.8325 =

138325
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 138325 and 10000.

GCD(138325, 10000) = 25

Divide both the numerator and denominator by the GCD:

138325
10000

=

138325 ÷ 25
10000 ÷ 25

=

5533
400
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