Converting 13.8584 to a Fraction
Step-by-step explanation of how to convert 13.8584 to a fraction
Result
13.8584 =
17323
1250
Mixed number:
13
1073
1250
Step 1: Identify the number of decimal places
The decimal 13.8584 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
13.8584 × 10000 = 138584
Step 3: Write as a fraction
13.8584 =
138584
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 138584 and 10000.
GCD(138584, 10000) = 8
Divide both the numerator and denominator by the GCD:
138584
10000
=
138584 ÷ 8
10000 ÷ 8
=
17323
1250
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