(1)/(13)-(5)/(8) - subtraction of fractions

Solution for the given fractions

• 1/13 - 5/8 = ?
• The common denominator of the two fractions is: 104
• 1/13 = (1*8)/(8*13) = 8/104
• 5/8 = (5*13)/(8*13) = 65/104
• Fractions adjusted to a common denominator
• 1/13 - 5/8 = 8/104 - 65/104
• 8/104 - 65/104 = (8-65)/104
• (8-65)/104 = -57/104

Solution for the given fractions

$ \frac{1}{13 }-\frac{ 5}{8 }=? $

The common denominator of the two fractions is: 104

$ \frac{1}{13 }= \frac{(1*8)}{(8*13)} =\frac{ 8}{104} $

$ \frac{5}{8 }= \frac{(5*13)}{(8*13)} =\frac{ 65}{104} $

Fractions adjusted to a common denominator

$ \frac{1}{13 }-\frac{ 5}{8 }=\frac{ 8}{104 }-\frac{ 65}{104} $

$ \frac{8}{104 }-\frac{ 65}{104 }= \frac{(8-65)}{104} $

$ \frac{(8-65)}{104 }= -\frac{57}{104} $

$ $

see mathematical notation