Question 513 Marks
Using the rearrangement property find the sum: $\frac{-6}{7}+\frac{-5}{6}+\frac{-4}{9}+\frac{-15}{7}$
Answer
View full question & answer→$\frac{-6}{7}+\frac{-5}{6}+\frac{-4}{9}+\frac{-15}{7}$ $=\Big(\frac{-6}{7}+\frac{-15}{7}\Big)+\Big(\frac{-5}{6}+\frac{-4}{9}\Big)$ $=\frac{-6-15}{7}+\frac{-15+(-8)}{18}$ $=\frac{-21}{7}+\frac{-23}{18}$ $=\frac{-378+(-161)}{126}$ $=\frac{-378-161}{126}$ $=\frac{-539}{126}$ $=\frac{-539\div7}{126\div7}$ $=\frac{-77}{18}$