(2)/(3)+(3)/(5) - addition of fractions

Solution for the given fractions

• 2/3 + 3/5 = ?
• The common denominator of the two fractions is: 15
• 2/3 = (2*5)/(3*5) = 10/15
• 3/5 = (3*3)/(3*5) = 9/15
• Fractions adjusted to a common denominator
• 2/3 + 3/5 = 10/15 + 9/15
• 10/15 + 9/15 = (9+10)/15
• (9+10)/15 = 19/15

Solution for the given fractions

$ \frac{2}{3 }+\frac{ 3}{5 }=? $

The common denominator of the two fractions is: 15

$ \frac{2}{3 }= \frac{(2*5)}{(3*5)} =\frac{ 10}{15} $

$ \frac{3}{5 }= \frac{(3*3)}{(3*5)} =\frac{ 9}{15} $

Fractions adjusted to a common denominator

$ \frac{2}{3 }+\frac{ 3}{5 }=\frac{ 10}{15 }+\frac{ 9}{15} $

$ \frac{10}{15 }+\frac{ 9}{15 }= \frac{(9+10)}{15} $

$ \frac{(9+10)}{15 }=\frac{ 19}{15} $

$ $

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