(1)/(5)+(3)/(8) - addition of fractions

Solution for the given fractions

• 1/5 + 3/8 = ?
• The common denominator of the two fractions is: 40
• 1/5 = (1*8)/(5*8) = 8/40
• 3/8 = (3*5)/(5*8) = 15/40
• Fractions adjusted to a common denominator
• 1/5 + 3/8 = 8/40 + 15/40
• 8/40 + 15/40 = (8+15)/40
• (8+15)/40 = 23/40

Solution for the given fractions

$ \frac{1}{5 }+\frac{ 3}{8 }=? $

The common denominator of the two fractions is: 40

$ \frac{1}{5 }= \frac{(1*8)}{(5*8)} =\frac{ 8}{40} $

$ \frac{3}{8 }= \frac{(3*5)}{(5*8)} =\frac{ 15}{40} $

Fractions adjusted to a common denominator

$ \frac{1}{5 }+\frac{ 3}{8 }=\frac{ 8}{40 }+\frac{ 15}{40} $

$ \frac{8}{40 }+\frac{ 15}{40 }= \frac{(8+15)}{40} $

$ \frac{(8+15)}{40 }=\frac{ 23}{40} $

$ $

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