(1)/(10)+(1)/(15) - addition of fractions

Solution for the given fractions

• 1/10 + 1/15 = ?
• The common denominator of the two fractions is: 30
• 1/10 = (1*3)/(3*10) = 3/30
• 1/15 = (1*2)/(2*15) = 2/30
• Fractions adjusted to a common denominator
• 1/10 + 1/15 = 3/30 + 2/30
• 3/30 + 2/30 = (2+3)/30
• (2+3)/30 = 5/30
• 5/30 = 1/6

Solution for the given fractions

$ \frac{1}{10 }+\frac{ 1}{15 }=? $

The common denominator of the two fractions is: 30

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

$ \frac{1}{15 }= \frac{(1*2)}{(2*15)} =\frac{ 2}{30} $

Fractions adjusted to a common denominator

$ \frac{1}{10 }+\frac{ 1}{15 }=\frac{ 3}{30 }+\frac{ 2}{30} $

$ \frac{3}{30 }+\frac{ 2}{30 }= \frac{(2+3)}{30} $

$ \frac{(2+3)}{30 }=\frac{ 5}{30} $

$ \frac{5}{30 }=\frac{ 1}{6} $

$ $

see mathematical notation