Converting 15.586 to a Fraction
Step-by-step explanation of how to convert 15.586 to a fraction
Result
15.586 =
7793
500
Mixed number:
15
293
500
Step 1: Identify the number of decimal places
The decimal 15.586 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
15.586 × 1000 = 15586
Step 3: Write as a fraction
15.586 =
15586
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 15586 and 1000.
GCD(15586, 1000) = 2
Divide both the numerator and denominator by the GCD:
15586
1000
=
15586 ÷ 2
1000 ÷ 2
=
7793
500
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