(1)/(3)+(6)/(10) - addition of fractions

Solution for the given fractions

• 1/3 + 6/10 = ?
• The common denominator of the two fractions is: 30
• 1/3 = (1*10)/(3*10) = 10/30
• 6/10 = (3*6)/(3*10) = 18/30
• Fractions adjusted to a common denominator
• 1/3 + 6/10 = 10/30 + 18/30
• 10/30 + 18/30 = (10+18)/30
• (10+18)/30 = 28/30
• 28/30 = 14/15

Solution for the given fractions

$ \frac{1}{3 }+\frac{ 6}{10 }=? $

The common denominator of the two fractions is: 30

$ \frac{1}{3 }= \frac{(1*10)}{(3*10)} =\frac{ 10}{30} $

$ \frac{6}{10 }= \frac{(3*6)}{(3*10)} =\frac{ 18}{30} $

Fractions adjusted to a common denominator

$ \frac{1}{3 }+\frac{ 6}{10 }=\frac{ 10}{30 }+\frac{ 18}{30} $

$ \frac{10}{30 }+\frac{ 18}{30 }= \frac{(10+18)}{30} $

$ \frac{(10+18)}{30 }=\frac{ 28}{30} $

$ \frac{28}{30 }=\frac{ 14}{15} $

$ $

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