Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Fractional and Rational Numbers, Exercise 15: CHAPTER-END EXERCISES

Simplify: $\frac{1}{-12}+\left(\frac{2}{-15}\right)$ 

Simplify: $\frac{-8}{19}+\left(\frac{-4}{57}\right)$ 

Using commutativity and associativity of addition of rational numbers, express the following as a rational number:

$\frac{2}{5}+\frac{8}{3}+\left(\frac{-11}{15}\right)+\frac{4}{5}+\left(\frac{-2}{3}\right)$

Using commutativity and associativity of addition of rational numbers, express the following as a rational number:

$\frac{4}{7}+0+\left(\frac{-8}{9}\right)+\left(\frac{-13}{7}\right)+\frac{17}{21}$

Using commutativity and associativity of addition of rational numbers, express the following as a rational number:

$\frac{3}{4} +\left(\frac{-3}{5}\right)+\left(\frac{-2}{3}\right)+\frac{5}{8}+\left(\frac{-4}{15}\right)$

Using commutativity and associativity of addition of rational numbers, express the following as a rational number:

$\left(\frac{-12}{5}\right) +\left(\frac{-7}{20}\right)+\frac{3}{14}+\frac{1}{7}+\left(\frac{-1}{10}\right)$

 What number should be subtracted from $\frac{-5}{3}$ to get $\frac{5}{6}$ ?

 What should be added to $\left(\frac{2}{3}+\frac{3}{5}\right)$ to get $\frac{-2}{15}$ ?