(23)/(5)+(31)/(9) - addition of fractions

Solution for the given fractions

• 23/5 + 31/9 = ?
• The common denominator of the two fractions is: 45
• 23/5 = (9*23)/(5*9) = 207/45
• 31/9 = (5*31)/(5*9) = 155/45
• Fractions adjusted to a common denominator
• 23/5 + 31/9 = 207/45 + 155/45
• 207/45 + 155/45 = (155+207)/45
• (155+207)/45 = 362/45

Solution for the given fractions

$ \frac{23}{5 }+\frac{ 31}{9 }=? $

The common denominator of the two fractions is: 45

$ \frac{23}{5 }= \frac{(9*23)}{(5*9)} =\frac{ 207}{45} $

$ \frac{31}{9 }= \frac{(5*31)}{(5*9)} =\frac{ 155}{45} $

Fractions adjusted to a common denominator

$ \frac{23}{5 }+\frac{ 31}{9 }=\frac{ 207}{45 }+\frac{ 155}{45} $

$ \frac{207}{45 }+\frac{ 155}{45 }= \frac{(155+207)}{45} $

$ \frac{(155+207)}{45 }=\frac{ 362}{45} $

$ $

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