(10)/(14)-(18)/(17) - subtract fractions

Solution for the given fractions

• 10/14 - 18/17 = ?
• The common denominator of the two fractions is: 238
• 10/14 = (10*17)/(14*17) = 170/238
• 18/17 = (14*18)/(14*17) = 252/238
• Fractions adjusted to a common denominator
• 10/14 - 18/17 = 170/238 - 252/238
• 170/238 - 252/238 = (170-252)/238
• (170-252)/238 = -82/238
• -82/238 = -41/119

Solution for the given fractions

$ \frac{10}{14 }-\frac{ 18}{17 }=? $

The common denominator of the two fractions is: 238

$ \frac{10}{14 }= \frac{(10*17)}{(14*17)} =\frac{ 170}{238} $

$ \frac{18}{17 }= \frac{(14*18)}{(14*17)} =\frac{ 252}{238} $

Fractions adjusted to a common denominator

$ \frac{10}{14 }-\frac{ 18}{17 }=\frac{ 170}{238 }-\frac{ 252}{238} $

$ \frac{170}{238 }-\frac{ 252}{238 }= \frac{(170-252)}{238} $

$ \frac{(170-252)}{238 }= -\frac{82}{238} $

$ -\frac{82}{238 }= -\frac{41}{119} $

$ $

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