Grade 7 Fractions Worksheets
Free printable fractions practice for Grade 7 students. Generate problems, solve them on screen or paper, and download as PDF.
Start with the fraction skill you need
Multiplication, division, word problems and visual models each need practice. Getting two multiplication answers right is useful evidence about those questions; it does not demonstrate the whole topic. Use the examples below to choose a starting point, then try the printable questions.
Multiply: find part of a part
What is ⅔ of ¾ of a sheet? Divide a rectangle into 3 equal rows and 4 equal columns. Shade 3 columns, then take 2 of its 3 rows.
Check the size: taking two thirds of three quarters should give less than three quarters. Multiplication by a positive fraction below one makes a positive quantity smaller.
Divide: count equal-sized portions
You have ¾ litre of juice. How many ⅛-litre portions fit? Rewrite ¾ as ⁶⁄₈. Six portions fit, so ¾ ÷ ⅛ = 6.
¾ ÷ ⅛ = ¾ × 8 = 6
The reciprocal method matches the portion model. Keep the first fraction and multiply by the reciprocal of the divisor. Check by multiplying back: 6 × ⅛ = ¾.
Common mistake: multiplying both fractions by their reciprocals loses the original quantity. Explain what is being divided and what one portion represents.
If a step feels difficult, repair that foundation first
- Equivalent fractions: explain why ¾ = ⁶⁄₈ before using either notation.
- Common denominators: practise adding unlike pieces; this is a different operation from multiplication.
- Mixed numbers: rewrite 1½ as ³⁄₂ before multiplying or dividing.
After the worksheet
Compare your reasoning with the answers. Circle one uncertain step and explain it with a drawing or calculation. For a parent, ask “What does this fraction represent?” before asking for the answer. For independent study, write that explanation yourself. Review the missed skill, then try a different problem without the example.
Bring your completed work for feedbackA free account is needed for a homework check. Choose practice by the skill you need; grade placement varies between school systems.
Practice Worksheet
Grade 7 Fractions Practice
Solve each problem. Show your work.
- 1.2/3 × 3/5 = _____
- 2.Simplify 18/24: _____
- 3.Order from least to greatest: 1/2, 2/3, 3/8.
- 4.2/3 ÷ 1/3 = _____
- 5.Simplify 21/49: _____
- 6.Order from least to greatest: 3/4, 5/8, 2/3.
Show answer key
- Question 1: 2/5
- Question 2: 3/4
- Question 3: 3/8, 1/2, 2/3
- Question 4: 2
- Question 5: 3/7
- Question 6: 5/8, 2/3, 3/4
Free Practice Worksheets
Print, solve on paper, then upload a photo for AI feedback and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Multiply the fractions: (3/4) * (2/5)
- 2.Divide the fractions: (1/2) / (3/4)
- 3.Multiply the mixed numbers: (1 1/2) * (2 1/3)
- 4.Divide the mixed numbers: (2 1/2) / (1/4)
- 5.Calculate the product of the rational numbers: (-2/3) * (3/5)
- 6.Calculate the quotient of the rational numbers: (-3/4) / (1/8)
A selection of topic skills
Solve each problem. Show your work.
- 1.Evaluate the expression: (-3 1/4) * (2/5). Simplify your answer into a mixed number or fraction.
- 2.Calculate the quotient: (5/8) ÷ (-3/4). Express your result in simplest form.
- 3.A recipe calls for 2 1/2 cups of flour for a batch of cookies. If you want to make 3 1/3 batches, how many total cups of flour do you need?
- 4.Compare the following two rational numbers using <, >, or =: -4/5 and -0.75.
- 5.A scale drawing uses a scale of 1/4 inch = 2 feet. If a wall in the drawing is 3 1/2 inches long, how many feet long is the actual wall?
- 6.Solve for x in the following equation: (2/3)x = -4/9.
Practise specific Fractions skills
Skill map
How fractions skills connect
Shore up what feeds in, work through the core skills in order, then move on to what they unlock. A means the skill has an instant answer checker.
Build up first
Core skills — in order
What Your Child Will Learn
Grade 7 fractions involve operations with integers, complex fractions, and application to proportional reasoning. Students work with negative fractions, add and subtract rational numbers, and use fractions in linear equations.
Proportional reasoning — comparing ratios, solving proportions, and working with scale factors — relies heavily on fraction skills. Students also encounter fractions in probability, expressing likelihood as fractions between 0 and 1.
Skills Covered
- Operating with positive and negative fractions
- Simplifying complex fractions
- Using fractions in proportions and ratios
- Solving equations involving fractions
- Fractions in probability contexts
- Rational number operations on a number line
Curriculum Aligned: Aligned with Strand B (Number): extending fraction operations to rational numbers and proportional reasoning.
Parent Tip: Proportional reasoning is the foundation for high school math — cooking recipes (doubling or halving) is perfect everyday practice.
What your child will practice
- Rational NumbersRepresent and compare rational numbers including negative fractions and decimals.
- PercentagesRepresent, compare, and order fractions, decimals, and percentages.
- Operations with FractionsMultiply and divide fractions and mixed numbers.
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Check my workFrequently Asked Questions
Why do students struggle with fractions?
Fractions require understanding parts of a whole, which is more abstract than counting. Using visual models like fraction bars and number lines helps build intuition.
How can I help my child with fractions at home?
Use real-life examples: cooking (measuring cups), pizza slices, and sharing equally. These concrete experiences make fractions meaningful.
What fraction skills should my child know by grade level?
Grade 3: identifying and comparing simple fractions. Grade 4: equivalent fractions and adding with like denominators. Grade 5-6: all four operations with fractions and mixed numbers.