(8)/(10)+(9)/(13) - addition of fractions

Solution for the given fractions

• 8/10 + 9/13 = ?
• The common denominator of the two fractions is: 130
• 8/10 = (8*13)/(10*13) = 104/130
• 9/13 = (9*10)/(10*13) = 90/130
• Fractions adjusted to a common denominator
• 8/10 + 9/13 = 104/130 + 90/130
• 104/130 + 90/130 = (90+104)/130
• (90+104)/130 = 194/130
• 194/130 = 97/65

Solution for the given fractions

$ \frac{8}{10 }+\frac{ 9}{13 }=? $

The common denominator of the two fractions is: 130

$ \frac{8}{10 }= \frac{(8*13)}{(10*13)} =\frac{ 104}{130} $

$ \frac{9}{13 }= \frac{(9*10)}{(10*13)} =\frac{ 90}{130} $

Fractions adjusted to a common denominator

$ \frac{8}{10 }+\frac{ 9}{13 }=\frac{ 104}{130 }+\frac{ 90}{130} $

$ \frac{104}{130 }+\frac{ 90}{130 }= \frac{(90+104)}{130} $

$ \frac{(90+104)}{130 }=\frac{ 194}{130} $

$ \frac{194}{130 }=\frac{ 97}{65} $

$ $

see mathematical notation