(1)/(a+6)+(1)/(a+5) - add fractions

Solution for the given fractions

• 1/(a+6) + 1/(a+5) = ?
• The common denominator of the two fractions is: (a+6)*(a+5)
• 1/(a+6) = (1*(a+5))/((a+6)*(a+5)) = (a+5)/((a+6)*(a+5))
• 1/(a+5) = (1*(a+6))/((a+5)*(a+6)) = (a+6)/((a+6)*(a+5))
• Fractions adjusted to a common denominator
• 1/(a+6) + 1/(a+5) = (a+5)/((a+6)*(a+5)) + (a+6)/((a+6)*(a+5))
• (a+5)/((a+6)*(a+5)) + (a+6)/((a+6)*(a+5)) = (a+a+5+6)/((a+6)*(a+5))
• (a+a+5+6)/((a+6)*(a+5)) = (2*a+11)/((a+6)*(a+5))

Solution for the given fractions

$ \frac{1}{(a+6)} +\frac{ 1}{(a+5)} =? $

The common denominator of the two fractions is: (a+6)*(a+5)

$ \frac{1}{(a+6)} = \frac{(1*(a+5))}{((a+6)*(a+5))} = \frac{(a+5)}{((a+6)*(a+5))} $

$ \frac{1}{(a+5)} = \frac{(1*(a+6))}{((a+5)*(a+6))} = \frac{(a+6)}{((a+6)*(a+5))} $

Fractions adjusted to a common denominator

$ \frac{1}{(a+6)} +\frac{ 1}{(a+5)} = \frac{(a+5)}{((a+6)*(a+5))} + \frac{(a+6)}{((a+6)*(a+5))} $

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

$ \frac{(a+a+5+6)}{((a+6)*(a+5))} = \frac{(2*a+11)}{((a+6)*(a+5))} $

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