FreeMathWorksheet
FreeMathWorksheet

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TN-MATH-GR9-70795 · v1.-3

Simplifying Fractions

Grade 9 · Math · Fractions · College Board (AP/SAT)

Grade

Grade 9

Subject

Math

Topic

Fractions

Subtopic

Simplifying Fractions

Curriculum

College Board (AP/SAT)

Difficulty

Foundation

Time

10 minutes

Total marks

37

Student name

Teacher name

Date

Learning objectives

  • Recognise simplifying fractions accurately in math contexts.
  • Explain the underlying rule of simplifying fractions in the student's own words.
  • Apply simplifying fractions to multi-step and unfamiliar problems.
  • Justify a chosen method and identify errors in another student's work.

Skills assessed

  • Fluency and recall
  • Method and setting out
  • Reasoning and justification
  • Problem solving in context
  • Self-assessment

Instructions

  1. Write your name, your teacher's name and the date in the header.
  2. Answer every question in the space provided. Continue on the back if needed.
  3. Show all working — method marks are awarded even when the final answer is wrong.
  4. Aim to finish in about 10 minutes.
  5. Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 2 marks

Answer quickly. These check you are ready for the topic.

  1. 1.Name one fact you already know about simplifying fractions.

    [1]
  2. 2.Circle one fact you already know about simplifying fractions.

    [1]

Recall

Bloom: Remember · 2 marks

Complete from memory. No calculator, no notes.

  1. 1.Label the key term used in simplifying fractions described here: item 1.

    [1]
  2. 2.List the key term used in simplifying fractions described here: item 2.

    [1]

FreeMathWorksheet · TN-MATH-GR9-70795 · v1.-3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 1 of 4

FreeMathWorksheet · Grade 9 Math

Simplifying Fractions

Basic Practice

Bloom: Understand · 3 marks

Work through each item. Show the step you used.

  1. 1.Complete part 1 using the rule for simplifying fractions.

    [1]
  2. 2.Complete part 2 using the rule for simplifying fractions.

    [1]
  3. 3.Work out part 3 using the rule for simplifying fractions.

    [1]

Guided Practice

Bloom: Understand · 4 marks

The first step is given. Finish the reasoning.

  1. 1.Complete the method for part 1. Step 1 has been started for you.

    [2]
  2. 2.Using the first step given, finish part 2. Step 1 has been started for you.

    [2]

Independent Practice

Bloom: Apply · 6 marks

No scaffolding. Set out your full method.

  1. 1.Calculate part 1 on simplifying fractions without help.

    [2]
  2. 2.Calculate part 2 on simplifying fractions without help.

    [2]
  3. 3.Solve part 3 on simplifying fractions without help.

    [2]

FreeMathWorksheet · TN-MATH-GR9-70795 · v1.-3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 2 of 4

FreeMathWorksheet · Grade 9 Math

Simplifying Fractions

Challenge Questions

Bloom: Analyse · 6 marks

Harder items. Attempt every one, even partially.

  1. 1.Show that the statement in part 1 about simplifying fractions.

    [3]
  2. 2.Prove the statement in part 2 about simplifying fractions.

    [3]

Real-life Application

Bloom: Apply · 6 marks

Use the skill in context. State units in your answer.

  1. 1.In context, work out a real math situation that depends on simplifying fractions.

    [3]
  2. 2.In context, work out a real math situation that depends on simplifying fractions.

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Explain why a student's method for simplifying fractions is or is not efficient.

    [4]
  2. 2.Evaluate whether a student's method for simplifying fractions is or is not efficient.

    [4]

FreeMathWorksheet · TN-MATH-GR9-70795 · v1.-3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 3 of 4

FreeMathWorksheet · Grade 9 Math

Simplifying Fractions

Reflection

Bloom: Create · 0 marks

Not marked. Answer honestly — this guides your next worksheet.

  1. 1.Reflect on how confident you feel with simplifying fractions and what you will practise next.

    [—]
  2. 2.Describe how confident you feel with simplifying fractions and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-GR9-70795 · v1.-3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 4 of 4