Converting 13.7575 to a Fraction
Step-by-step explanation of how to convert 13.7575 to a fraction

Result

13.7575 =
5503
400
Mixed number:
13
303
400

Step 1: Identify the number of decimal places

The decimal 13.7575 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.7575 × 10000 = 137575

Step 3: Write as a fraction

13.7575 =

137575
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 137575 and 10000.

GCD(137575, 10000) = 25

Divide both the numerator and denominator by the GCD:

137575
10000

=

137575 ÷ 25
10000 ÷ 25

=

5503
400
Related Conversions
Other decimal to fraction conversions you might find useful