Fractions Worksheets

Add, subtract, multiply and divide fractions, with or without mixed numbers. Answers are in simplest form. Grades 4–6.

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What these worksheets practise

A fraction names part of a whole: in 34\tfrac{3}{4}, the denominator 4 says how many equal parts the whole is cut into, and the numerator 3 says how many of them you have. These worksheets practise the four operations on fractions, one operation per worksheet.

Choose a maximum denominator (6 or 12) and whether to use mixed numbers such as 2122\tfrac{1}{2}. Every fraction in a problem is in lowest terms, subtraction answers are never negative, and every answer is given in simplest form, with improper fractions written as mixed numbers.

How each operation works

  • Add or subtract: rewrite both fractions with a common denominator, then add or subtract the numerators.
  • Multiply: multiply the numerators and multiply the denominators.
  • Divide: multiply by the reciprocal of the second fraction ("keep, change, flip").
  • Mixed numbers: change them to improper fractions first, then use the rules above.

Worked examples

Addition: 14+23\tfrac{1}{4} + \tfrac{2}{3}

14+23=312+812=1112\frac{1}{4} + \frac{2}{3} = \frac{3}{12} + \frac{8}{12} = \frac{11}{12}

Subtraction: 56−14\tfrac{5}{6} - \tfrac{1}{4}

56−14=1012−312=712\frac{5}{6} - \frac{1}{4} = \frac{10}{12} - \frac{3}{12} = \frac{7}{12}

Multiplication: 23×35\tfrac{2}{3} \times \tfrac{3}{5}

23×35=615=25\frac{2}{3} \times \frac{3}{5} = \frac{6}{15} = \frac{2}{5}

Division: 34÷25\tfrac{3}{4} \div \tfrac{2}{5}

34÷25=34×52=158=178\frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2} = \frac{15}{8} = 1\tfrac{7}{8}

Mixed numbers: 123+2121\tfrac{2}{3} + 2\tfrac{1}{2}

53+52=106+156=256=416\frac{5}{3} + \frac{5}{2} = \frac{10}{6} + \frac{15}{6} = \frac{25}{6} = 4\tfrac{1}{6}

Check your answers

Estimate first: 14+23\tfrac{1}{4} + \tfrac{2}{3} is a little less than 1, so 1112\tfrac{11}{12} is reasonable, while 37\tfrac{3}{7} (less than a half) cannot be right.

Common mistakes

  • Adding the denominators. 14+23\tfrac{1}{4} + \tfrac{2}{3} is not 37\tfrac{3}{7}. Only the numerators are added, after the denominators match.
  • Forgetting to flip when dividing. 34÷25\tfrac{3}{4} \div \tfrac{2}{5} is 34×52\tfrac{3}{4} \times \tfrac{5}{2}, not 34×25\tfrac{3}{4} \times \tfrac{2}{5}.
  • Leaving the answer unsimplified. 615\tfrac{6}{15} is correct but not finished; 25\tfrac{2}{5} is the simplest form.
  • Multiplying mixed numbers part by part. 212×1132\tfrac{1}{2} \times 1\tfrac{1}{3} is not 2162\tfrac{1}{6}. As improper fractions, 52×43=206=313\tfrac{5}{2} \times \tfrac{4}{3} = \tfrac{20}{6} = 3\tfrac{1}{3}.

Sample problems

These problems come from the same generator as the worksheet above. Press Generate for a fresh set.

Addition

  1. 14+15=\dfrac{1}{4} + \dfrac{1}{5} =
  2. 12+16=\dfrac{1}{2} + \dfrac{1}{6} =

Subtraction

  1. 35−12=\dfrac{3}{5} - \dfrac{1}{2} =
  2. 25−13=\dfrac{2}{5} - \dfrac{1}{3} =

Multiplication

  1. 23×15=\dfrac{2}{3} \times \dfrac{1}{5} =
  2. 35×15=\dfrac{3}{5} \times \dfrac{1}{5} =

Division

  1. 23÷12=\dfrac{2}{3} \div \dfrac{1}{2} =
  2. 45÷12=\dfrac{4}{5} \div \dfrac{1}{2} =

Mixed numbers

  1. 323+412=3\tfrac{2}{3} + 4\tfrac{1}{2} =
  2. 513+323=5\tfrac{1}{3} + 3\tfrac{2}{3} =
Show answers
  1. 9/20
  2. 2/3
  3. 1/10
  4. 1/15
  5. 2/15
  6. 3/25
  7. 1 1/3
  8. 1 3/5
  9. 8 1/6
  10. 9

Tips for teachers and parents

  • Start with denominators up to 6: the common denominators are small enough to find by listing multiples.
  • Fraction bars or a pizza drawing make the need for a common denominator easy to see.
  • Turn on mixed numbers only after the four operations are secure with simple fractions.

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