Converting 13.5725 to a Fraction
Step-by-step explanation of how to convert 13.5725 to a fraction

Result

13.5725 =
5429
400
Mixed number:
13
229
400

Step 1: Identify the number of decimal places

The decimal 13.5725 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.5725 × 10000 = 135725

Step 3: Write as a fraction

13.5725 =

135725
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 135725 and 10000.

GCD(135725, 10000) = 25

Divide both the numerator and denominator by the GCD:

135725
10000

=

135725 ÷ 25
10000 ÷ 25

=

5429
400
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