(8)/(33)+(5)/(21) - addition of fractions

Solution for the given fractions

• 8/33 + 5/21 = ?
• The common denominator of the two fractions is: 231
• 8/33 = (7*8)/(7*33) = 56/231
• 5/21 = (5*11)/(11*21) = 55/231
• Fractions adjusted to a common denominator
• 8/33 + 5/21 = 56/231 + 55/231
• 56/231 + 55/231 = (55+56)/231
• (55+56)/231 = 111/231
• 111/231 = 37/77

Solution for the given fractions

$ \frac{8}{33 }+\frac{ 5}{21 }=? $

The common denominator of the two fractions is: 231

$ \frac{8}{33 }= \frac{(7*8)}{(7*33)} =\frac{ 56}{231} $

$ \frac{5}{21 }= \frac{(5*11)}{(11*21)} =\frac{ 55}{231} $

Fractions adjusted to a common denominator

$ \frac{8}{33 }+\frac{ 5}{21 }=\frac{ 56}{231 }+\frac{ 55}{231} $

$ \frac{56}{231 }+\frac{ 55}{231 }= \frac{(55+56)}{231} $

$ \frac{(55+56)}{231 }=\frac{ 111}{231} $

$ \frac{111}{231 }=\frac{ 37}{77} $

$ $

see mathematical notation