(5)/(x)+(7)/(x-1) - adding of fractions

Solution for the given fractions

• 5/x + 7/(x-1) = ?
• The common denominator of the two fractions is: x*(x-1)
• 5/x = (5*(x-1))/(x*(x-1)) = (5*(x-1))/(x*(x-1))
• 7/(x-1) = (7*x)/(x*(x-1)) = (7*x)/(x*(x-1))
• Fractions adjusted to a common denominator
• 5/x + 7/(x-1) = (5*(x-1))/(x*(x-1)) + (7*x)/(x*(x-1))
• (5*(x-1))/(x*(x-1)) + (7*x)/(x*(x-1)) = (5*(x-1)+7*x)/(x*(x-1))
• (5*(x-1)+7*x)/(x*(x-1)) = (5*(x-1)+7*x)/(x*(x-1))

Solution for the given fractions

$ \frac{5}{x }+\frac{ 7}{(x-1)} =? $

The common denominator of the two fractions is: x*(x-1)

$ \frac{5}{x }= \frac{(5*(x-1))}{(x*(x-1))} = \frac{(5*(x-1))}{(x*(x-1))} $

$ \frac{7}{(x-1)} = \frac{(7*x)}{(x*(x-1))} = \frac{(7*x)}{(x*(x-1))} $

Fractions adjusted to a common denominator

$ \frac{5}{x }+\frac{ 7}{(x-1)} = \frac{(5*(x-1))}{(x*(x-1))} + \frac{(7*x)}{(x*(x-1))} $

$ \frac{(5*(x-1))}{(x*(x-1))} + \frac{(7*x)}{(x*(x-1))} = \frac{(5*(x-1)+7*x)}{(x*(x-1))} $

$ \frac{(5*(x-1)+7*x)}{(x*(x-1))} = \frac{(5*(x-1)+7*x)}{(x*(x-1))} $

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