Grade 6 Fractions: Two More Practice Sets

Two additional practice sets on fractions, including addition and subtraction using LCM.
Published

September 19, 2026

1 Fractions: two more practice sets

Show your working. Write each answer in its simplest form. For addition and subtraction with different denominators, find the LCM of the denominators first, and then rename the fractions before calculating.

1.1 A reminder about LCM

LCM means the smallest number that is a multiple of two or more numbers.

Example: To add \(\frac{1}{6}+\frac{3}{8}\):

  • Multiples of \(6\) include \(6\), \(12\), \(18\), \(24\).
  • Multiples of \(8\) include \(8\), \(16\), \(24\).
  • The LCM of \(6\) and \(8\) is \(24\).
  • Rename the fractions: \(\frac{1}{6}=\frac{4}{24}\) and \(\frac{3}{8}=\frac{9}{24}\).
  • Add: \(\frac{4}{24}+\frac{9}{24}=\frac{13}{24}\).
  • You can also use the division method to find LCM.

2 Practice set 4

  1. Change \(3\frac{4}{7}\) into an improper fraction.
  2. Change \(\frac{29}{6}\) into a mixed fraction.
  3. Add \(\frac{5}{12}+\frac{7}{18}\). Find the LCM of \(12\) and \(18\) first.
  4. Subtract \(\frac{11}{15}-\frac{2}{9}\). Find the LCM of \(15\) and \(9\) first.
  5. Add \(2\frac{3}{8}+1\frac{5}{6}\). Convert the mixed fractions to improper fractions and find the LCM of \(8\) and \(6\).
  6. Subtract \(4\frac{1}{5}-2\frac{3}{4}\). Convert the mixed fractions to improper fractions and find the LCM of \(5\) and \(4\).
  7. Multiply \(\frac{7}{9}\times\frac{3}{14}\).
  8. Multiply \(1\frac{2}{3}\times\frac{3}{5}\). First change the mixed fraction into an improper fraction.
  9. Divide \(\frac{5}{6}\div\frac{10}{9}\).
  10. Divide \(2\frac{1}{2}\div1\frac{1}{4}\). First change both mixed fractions into improper fractions.

3 Practice set 5

  1. Change \(6\frac{5}{8}\) into an improper fraction.
  2. Change \(\frac{47}{9}\) into a mixed fraction.
  3. Add \(\frac{7}{20}+\frac{5}{12}\). Find the LCM of \(20\) and \(12\) first.
  4. Subtract \(\frac{13}{14}-\frac{5}{21}\). Find the LCM of \(14\) and \(21\) first.
  5. Add \(3\frac{1}{6}+2\frac{3}{10}\). Convert the mixed fractions to improper fractions and find the LCM of \(6\) and \(10\).
  6. Subtract \(5\frac{2}{9}-1\frac{5}{12}\). Convert the mixed fractions to improper fractions and find the LCM of \(9\) and \(12\).
  7. Multiply \(\frac{8}{15}\times\frac{5}{16}\).
  8. Multiply \(2\frac{1}{4}\times1\frac{1}{3}\). First change both mixed fractions into improper fractions.
  9. Divide \(\frac{7}{10}\div\frac{14}{25}\).
  10. Divide \(3\frac{3}{5}\div1\frac{1}{5}\). First change both mixed fractions into improper fractions.