Converting 13.8575 to a Fraction
Step-by-step explanation of how to convert 13.8575 to a fraction
Result
13.8575 =
5543
400
Mixed number:
13
343
400
Step 1: Identify the number of decimal places
The decimal 13.8575 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
13.8575 × 10000 = 138575
Step 3: Write as a fraction
13.8575 =
138575
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 138575 and 10000.
GCD(138575, 10000) = 25
Divide both the numerator and denominator by the GCD:
138575
10000
=
138575 ÷ 25
10000 ÷ 25
=
5543
400
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