(21)/(5)+(28)/(9) - addition of fractions

Solution for the given fractions

• 21/5 + 28/9 = ?
• The common denominator of the two fractions is: 45
• 21/5 = (9*21)/(5*9) = 189/45
• 28/9 = (5*28)/(5*9) = 140/45
• Fractions adjusted to a common denominator
• 21/5 + 28/9 = 189/45 + 140/45
• 189/45 + 140/45 = (140+189)/45
• (140+189)/45 = 329/45

Solution for the given fractions

$ \frac{21}{5 }+\frac{ 28}{9 }=? $

The common denominator of the two fractions is: 45

$ \frac{21}{5 }= \frac{(9*21)}{(5*9)} =\frac{ 189}{45} $

$ \frac{28}{9 }= \frac{(5*28)}{(5*9)} =\frac{ 140}{45} $

Fractions adjusted to a common denominator

$ \frac{21}{5 }+\frac{ 28}{9 }=\frac{ 189}{45 }+\frac{ 140}{45} $

$ \frac{189}{45 }+\frac{ 140}{45 }= \frac{(140+189)}{45} $

$ \frac{(140+189)}{45 }=\frac{ 329}{45} $

$ $

see mathematical notation