Fraction Operations Practice Worksheet

What you will learn

This worksheet builds fraction accuracy through mixed operations and reasonableness checks. Before calculating, estimate whether an answer should be less than one, near one, or greater than one. Show a common denominator for addition and subtraction, cancel common factors when helpful for multiplication, and remember that division by a fraction uses the reciprocal of the divisor.

Core ideas

• Only addition and subtraction require a common denominator.
• Multiplying numerators and denominators can be simplified before or after multiplication.
• Dividing by a nonzero fraction is equivalent to multiplying by its reciprocal.
• A final fraction should be simplified, and an improper fraction may be written as a mixed number if requested.

A practical way to use this resource

1. Estimate the size and sign of the result.
2. Write each transformation clearly rather than doing several operations mentally.
3. Simplify and convert form only when directions require it.
4. Check using a decimal approximation or the inverse operation.

Check your understanding

Solve and show work: 3/4 + 5/6; 7/8 - 1/3; (4/9)(3/10); (5/12) ÷ (2/3); and 1 1/2 + 2 3/4. For each answer, add a one-line estimate that confirms the result is reasonable.

Accuracy and next steps

Use this page as a learning guide, compare your work with course requirements, and ask an instructor when a local rule or assignment direction differs.