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
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