Operations with rational numbers Knowledge-Based Practice

Questions

1. 1.

   What is the value of $\frac{1}{2 - \frac{1}{3}} - \left( -\frac{1}{5} \right) \div \frac{2}{3}$?

   • A) $\frac{3}{10}$
   • B) $\frac{11}{15}$
   • C) $\frac{9}{10}$
   • D) $\frac{6}{5}$
2. 2.

   What is the value of $\frac{1 - \frac{1}{4}}{1 + \frac{1}{2}} - \left(-\frac{2}{3}\right)^2$?

   • A) $-\frac{1}{18}$
   • B) $\frac{7}{18}$
   • C) $\frac{17}{18}$
   • D) $\frac{1}{18}$
3. 3.

   What is the value of $\left( -\frac{1}{2} \right)^3 + \frac{5}{6} \div \left( 1 - \frac{1}{3} \right)$?

   • A) $\frac{11}{8}$
   • B) $\frac{13}{12}$
   • C) $\frac{7}{8}$
   • D) $\frac{9}{8}$
4. 4.

   What is the value of $\left( -\frac{3}{8} \div \frac{9}{4} \right) - \left( -\frac{5}{6} \right) \cdot \frac{3}{10}$?

   • A) $-\frac{5}{12}$
   • B) $-\frac{1}{12}$
   • C) $\frac{5}{12}$
   • D) $\frac{1}{12}$
5. 5.

   What is the value of $\left( \frac{2}{5} - \frac{3}{4} \right) \cdot \left( -\frac{8}{7} \right) + \frac{1}{5}$?

   • A) $-\frac{3}{5}$
   • B) $-\frac{1}{5}$
   • C) $\frac{3}{5}$
   • D) $\frac{1}{5}$

Answers and step-by-step solutions appear after you finish the test.