(5)/(12)+(4)/(9) - addition of fractions

Solution for the given fractions

• 5/12 + 4/9 = ?
• The common denominator of the two fractions is: 36
• 5/12 = (3*5)/(3*12) = 15/36
• 4/9 = (4*4)/(4*9) = 16/36
• Fractions adjusted to a common denominator
• 5/12 + 4/9 = 15/36 + 16/36
• 15/36 + 16/36 = (15+16)/36
• (15+16)/36 = 31/36

Solution for the given fractions

$ \frac{5}{12 }+\frac{ 4}{9 }=? $

The common denominator of the two fractions is: 36

$ \frac{5}{12 }= \frac{(3*5)}{(3*12)} =\frac{ 15}{36} $

$ \frac{4}{9 }= \frac{(4*4)}{(4*9)} =\frac{ 16}{36} $

Fractions adjusted to a common denominator

$ \frac{5}{12 }+\frac{ 4}{9 }=\frac{ 15}{36 }+\frac{ 16}{36} $

$ \frac{15}{36 }+\frac{ 16}{36 }= \frac{(15+16)}{36} $

$ \frac{(15+16)}{36 }=\frac{ 31}{36} $

$ $

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