(-17)/(28)-(17)/(20) - subtraction of fractions

Solution for the given fractions

• -17/28 - 17/20 = ?
• The common denominator of the two fractions is: 140
• -17/28 = (-17*5)/(5*28) = -85/140
• 17/20 = (7*17)/(7*20) = 119/140
• Fractions adjusted to a common denominator
• -17/28 - 17/20 = -85/140 - 119/140
• -85/140 - 119/140 = (-119-85)/140
• (-119-85)/140 = -204/140
• -204/140 = -51/35

Solution for the given fractions

$ -\frac{17}{28 }-\frac{ 17}{20 }=? $

The common denominator of the two fractions is: 140

$ -\frac{17}{28 }= \frac{(-17*5)}{(5*28)} = -\frac{85}{140} $

$ \frac{17}{20 }= \frac{(7*17)}{(7*20)} =\frac{ 119}{140} $

Fractions adjusted to a common denominator

$ -\frac{17}{28 }-\frac{ 17}{20 }= -\frac{85}{140 }-\frac{ 119}{140} $

$ -\frac{85}{140 }-\frac{ 119}{140 }= \frac{(-119-85)}{140} $

$ \frac{(-119-85)}{140 }= -\frac{204}{140} $

$ -\frac{204}{140 }= -\frac{51}{35} $

$ $

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