Learn – Arithmetic – Fractions

Exercises

Problem set

Simplify the following.

  1. \frac{48}{72}
  2. \frac{154}{70}
  3. \frac{-441}{63}
  4. \frac{154}{-70}
  5. \frac{-48}{-72}
  6. -\left(\frac{-990}{1890}\right)

Problem set

Simplify the following.

  1. \frac{2}{3}\times \frac{5}{7}
  2. \frac{5}{2}\times \frac{3}{4}
  3. \frac{3}{4}\times \frac{7}{9}
  4. \frac{4}{9}\times \frac{21}{16}
  5. \frac{35}{121}\times \left(-\frac{22}{21}\right)
  6. \left(-\frac{35}{32}\right)\times \left(-\frac{48}{49}\right)
  7. \frac{20}{11}\times \frac{-44}{16}
  8. \frac{-63}{18}\times \frac{12}{14}
  9. \frac{-72}{30}\times \left(\frac{100}{-16}\right)

Problem set

Simplify the following.

  1. \frac{56}{20}\times \frac{16}{49} \times \frac{7}{64}
  2. \frac{27}{42}\times \left(-\frac{28}{6}\right) \times \left(-20\right)
  3. \left(-\frac{81}{42}\right)\times \left(-\frac{36}{54}\right) \times \left(-\frac{49}{18}\right)
  4. \left(-\frac{24}{22}\right)\times \left(\frac{-33}{32}\right) \times \left(\frac{-8}{60}\right)
  5. \left(-\frac{77}{90}\right)\times \left(\frac{-120}{49}\right) \times \left(\frac{42}{-66}\right)

Problem set

Simplify the following.

  1. \left(-\frac{27}{14}\right)\div \frac{6}{14}
  2. \left(-\frac{21}{90}\right)\div \left(-\frac{28}{8}\right)
  3. \left(-\frac{81}{42}\right)\div \left(-\frac{54}{49}\right) \div \left(-\frac{18}{36}\right)
  4. \left(-\frac{24}{22}\right)\div \left(\frac{32}{8}\right) \div \left(-\frac{60}{33}\right)
  5. \left(\frac{77}{90}\right)\div \left(\frac{-49}{12}\right) \times \left(\frac{42}{-66}\right)

Problem set

Simplify the following.

  1. \frac{1}{5}+\frac{5}{6}
  2. \frac{1}{5}-\frac{4}{7}
  3. -\frac{2}{5}-\frac{4}{7}
  4. \frac{3}{2}-\frac{5}{9}
  5. -\frac{7}{8}+\frac{3}{4}

Problem set

Simplify the following.

  1. \frac{3}{10}+\frac{4}{15}
  2. \frac{2}{15}+\frac{3}{35}
  3. \frac{5}{21}+\frac{3}{28}
  4. \frac{3}{44}-\frac{5}{33}
  5. \frac{2}{35}-\frac{5}{28}
  6. \frac{7}{50}-\frac{3}{35}
  7. \frac{3}{35}+\frac{11}{70}

Problem set

Simplify the following.

  1. \frac{1}{5}+\frac{5}{4}+\frac{2}{3}
  2. \frac{1}{5}-\frac{5}{4}+\frac{2}{3}
  3. -\frac{1}{5}-\frac{5}{4}-\frac{2}{3}
  4. -\frac{1}{5}+\frac{5}{6}-\frac{2}{3}
  5. -\frac{1}{10}+\frac{5}{6}-\frac{2}{3}-\frac{3}{4}

Problem set

Simplify the following.

  1. \frac{5600}{3500}\times {15000}
  2. \frac{560}{3500}\times {150}
  3. \left(-\frac{350}{32}\right)\times \frac{48}{4900}
  4. \frac{20}{11}\times \frac{4400}{1600}
  5. \frac{63}{18000}\times \frac{1200}{140}

Problem set

Simplify the following.

  1. \frac{2.1}{2800}\times 40
  2. \frac{9.3}{1500}\times\frac{35}{100}
  3. -\frac{6.3}{70}\times \frac{8.1}{1.8}
  4. -\frac{6.4}{9.6}\times \left(-\frac{30}{100}\right)
  5. -\frac{7.2}{3}\times \left(-\frac{100}{16}\right)

Problem set

Simplify the following.

  1. \frac{560}{6400}\times \frac{160}{4900} \times \frac{700}{2000}
  2. \left(-\frac{2700}{140}\right)\times \frac{1400}{600} \times 20
  3. \left(-\frac{8.1}{42}\right)\times \left(-\frac{4.9}{540}\right) \times \left(-\frac{3.6}{180}\right)
  4. \left(-\frac{0.24}{22}\right)\times \left(\frac{33}{0.032}\right) \times \left(-\frac{0.08}{60}\right)
  5. \left(\frac{0.77}{90}\right)\times \left(\frac{120}{4.9}\right) \times \left(-\frac{4.2}{66}\right)

Problem set

Simplify the following.

  1. \left(-\frac{2700}{140}\right)\div \frac{600}{1400}
  2. \left(-\frac{2.1}{90}\right)\div \left(-\frac{2.8}{8}\right)
  3. \left(-\frac{8.1}{42}\right)\div \left(-\frac{540}{4.9}\right) \div \left(-\frac{180}{3.6}\right)
  4. \left(-\frac{0.24}{22}\right)\div \left(\frac{0.032}{0.08}\right) \div \left(-\frac{60}{33}\right)
  5. \left(\frac{0.77}{90}\right)\div \left(\frac{4.9}{120}\right) \times \left(-\frac{4.2}{66}\right)

Problem set

  1. Name the smallest and biggest of the following fractions: \frac{7}{12}, \frac{3}{5}, \frac{4}{7}
  2. What is the value of (27\times 30\times 33\times 36\times 39)\div (9\times 10\times 11\times 12\times 13)?
  3. What is the value of: \frac{500\times 499\times 498\times 497\times\cdots \times 3\times 2\times 1}{498\times 497\times \cdots\times 3\times 2\times 1}?
  4. What is the value of: \frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}\times \frac{4}{5}\times \frac{5}{6}\times \frac{6}{7}\times\frac{7}{8}\times\frac{8}{9}\times\frac{9}{10}?