(8)/(-5)+(5)/(9) - addition of fractions

Solution for the given fractions

• 8/(-5) + 5/9 = ?
• The common denominator of the two fractions is: 45
• 8/(-5) = (-9*8)/(-9*(-5)) = -72/45
• 5/9 = (5*5)/(5*9) = 25/45
• Fractions adjusted to a common denominator
• 8/(-5) + 5/9 = -72/45 + 25/45
• -72/45 + 25/45 = (25-72)/45
• (25-72)/45 = -47/45

Solution for the given fractions

$ \frac{8}{(-5)} +\frac{ 5}{9 }=? $

The common denominator of the two fractions is: 45

$ \frac{8}{(-5)} = \frac{(-9*8)}{(-9*(-5))} = -\frac{72}{45} $

$ \frac{5}{9 }= \frac{(5*5)}{(5*9)} =\frac{ 25}{45} $

Fractions adjusted to a common denominator

$ \frac{8}{(-5)} +\frac{ 5}{9 }= -\frac{72}{45 }+\frac{ 25}{45} $

$ -\frac{72}{45 }+\frac{ 25}{45 }= \frac{(25-72)}{45} $

$ \frac{(25-72)}{45 }= -\frac{47}{45} $

$ $

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