Question

Find the value of
$\frac{3}{5}+\frac{-7}{6}+\frac{2}{5}+\frac{-5}{6}.$

• A. 14
• B. 2
• C. -1

Answer 1

The correct option is C -1

Re-arranging and grouping the numbers in pairs in such a way that each group contains a pair of rational numbers with equal denominators, we have,

$(\frac{3}{5}+\frac{2}{5})+(\frac{-7}{6}+\frac{-5}{6})$

$=\frac{3+2}{5}+\frac{(-7)+(-5)}{6}$

$=\frac{5}{5}+\frac{(-12)}{6}$

$=1+(-2)=-1$