(8)/(x+3)-(6)/(x+5) - subtraction of fractions

Solution for the given fractions

• 8/(x+3) - 6/(x+5) = ?
• The common denominator of the two fractions is: (x+3)*(x+5)
• 8/(x+3) = (8*(x+5))/((x+3)*(x+5)) = (8*(x+5))/((x+3)*(x+5))
• 6/(x+5) = (6*(x+3))/((x+5)*(x+3)) = (6*(x+3))/((x+3)*(x+5))
• Fractions adjusted to a common denominator
• 8/(x+3) - 6/(x+5) = (8*(x+5))/((x+3)*(x+5)) - (6*(x+3))/((x+3)*(x+5))
• (8*(x+5))/((x+3)*(x+5)) - (6*(x+3))/((x+3)*(x+5)) = (8*(x+5)-(6*(x+3)))/((x+3)*(x+5))
• (8*(x+5)-(6*(x+3)))/((x+3)*(x+5)) = (8*(x+5)-6*(x+3))/((x+3)*(x+5))

Solution for the given fractions

$ \frac{8}{(x+3)} -\frac{ 6}{(x+5)} =? $

The common denominator of the two fractions is: (x+3)*(x+5)

$ \frac{8}{(x+3)} = \frac{(8*(x+5))}{((x+3)*(x+5))} = \frac{(8*(x+5))}{((x+3)*(x+5))} $

$ \frac{6}{(x+5)} = \frac{(6*(x+3))}{((x+5)*(x+3))} = \frac{(6*(x+3))}{((x+3)*(x+5))} $

Fractions adjusted to a common denominator

$ \frac{8}{(x+3)} -\frac{ 6}{(x+5)} = \frac{(8*(x+5))}{((x+3)*(x+5))} - \frac{(6*(x+3))}{((x+3)*(x+5))} $

$ \frac{(8*(x+5))}{((x+3)*(x+5))} - \frac{(6*(x+3))}{((x+3)*(x+5))} = \frac{(8*(x+5)-(6*(x+3)))}{((x+3)*(x+5))} $

$ \frac{(8*(x+5)-(6*(x+3)))}{((x+3)*(x+5))} = \frac{(8*(x+5)-6*(x+3))}{((x+3)*(x+5))} $

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