(5)/(40)+(1)/(7) - addition of fractions

Solution for the given fractions

• 5/40 + 1/7 = ?
• The common denominator of the two fractions is: 280
• 5/40 = (5*7)/(7*40) = 35/280
• 1/7 = (1*40)/(7*40) = 40/280
• Fractions adjusted to a common denominator
• 5/40 + 1/7 = 35/280 + 40/280
• 35/280 + 40/280 = (35+40)/280
• (35+40)/280 = 75/280
• 75/280 = 15/56

Solution for the given fractions

$ \frac{5}{40 }+\frac{ 1}{7 }=? $

The common denominator of the two fractions is: 280

$ \frac{5}{40 }= \frac{(5*7)}{(7*40)} =\frac{ 35}{280} $

$ \frac{1}{7 }= \frac{(1*40)}{(7*40)} =\frac{ 40}{280} $

Fractions adjusted to a common denominator

$ \frac{5}{40 }+\frac{ 1}{7 }=\frac{ 35}{280 }+\frac{ 40}{280} $

$ \frac{35}{280 }+\frac{ 40}{280 }= \frac{(35+40)}{280} $

$ \frac{(35+40)}{280 }=\frac{ 75}{280} $

$ \frac{75}{280 }=\frac{ 15}{56} $

$ $

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