(1)/(5)+(1)/(10) - addition of fractions

Solution for the given fractions

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

Solution for the given fractions

$ \frac{1}{5 }+\frac{ 1}{10 }=? $

The common denominator of the two fractions is: 10

$ \frac{1}{5 }= \frac{(1*2)}{(2*5)} =\frac{ 2}{10} $

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

Fractions adjusted to a common denominator

$ \frac{1}{5 }+\frac{ 1}{10 }=\frac{ 2}{10 }+\frac{ 1}{10} $

$ \frac{2}{10 }+\frac{ 1}{10 }= \frac{(1+2)}{10} $

$ \frac{(1+2)}{10 }=\frac{ 3}{10} $

$ $

see mathematical notation