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

Solution for the given fractions

• 3/5 + 5/3 = ?
• The common denominator of the two fractions is: 15
• 3/5 = (3*3)/(3*5) = 9/15
• 5/3 = (5*5)/(3*5) = 25/15
• Fractions adjusted to a common denominator
• 3/5 + 5/3 = 9/15 + 25/15
• 9/15 + 25/15 = (9+25)/15
• (9+25)/15 = 34/15

Solution for the given fractions

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

The common denominator of the two fractions is: 15

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

$ \frac{5}{3 }= \frac{(5*5)}{(3*5)} =\frac{ 25}{15} $

Fractions adjusted to a common denominator

$ \frac{3}{5 }+\frac{ 5}{3 }=\frac{ 9}{15 }+\frac{ 25}{15} $

$ \frac{9}{15 }+\frac{ 25}{15 }= \frac{(9+25)}{15} $

$ \frac{(9+25)}{15 }=\frac{ 34}{15} $

$ $

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