(5)/(7)+(3)/(8) - addition of fractions

Solution for the given fractions

• 5/7 + 3/8 = ?
• The common denominator of the two fractions is: 56
• 5/7 = (5*8)/(7*8) = 40/56
• 3/8 = (3*7)/(7*8) = 21/56
• Fractions adjusted to a common denominator
• 5/7 + 3/8 = 40/56 + 21/56
• 40/56 + 21/56 = (21+40)/56
• (21+40)/56 = 61/56

Solution for the given fractions

$ \frac{5}{7 }+\frac{ 3}{8 }=? $

The common denominator of the two fractions is: 56

$ \frac{5}{7 }= \frac{(5*8)}{(7*8)} =\frac{ 40}{56} $

$ \frac{3}{8 }= \frac{(3*7)}{(7*8)} =\frac{ 21}{56} $

Fractions adjusted to a common denominator

$ \frac{5}{7 }+\frac{ 3}{8 }=\frac{ 40}{56 }+\frac{ 21}{56} $

$ \frac{40}{56 }+\frac{ 21}{56 }= \frac{(21+40)}{56} $

$ \frac{(21+40)}{56 }=\frac{ 61}{56} $

$ $

see mathematical notation