Free Grade 3 Equivalent Fractions Lesson Plans
Free Grade 3 lesson plans for Equivalent Fractions: 12 real questions with a full answer key and worked solutions. Equivalent fractions name the same amount using different numbers. Multiply or divide the numerator and denominator by the same number and the value doesn't change.
Free
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain equivalent fractions
Explain equivalent fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate equivalent fractions
Calculate equivalent fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare equivalent fractions
Compare equivalent fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify equivalent fractions
Justify equivalent fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Equivalent Fractions works
Equivalent fractions name the same amount using different numbers. Multiply or divide the numerator and denominator by the same number and the value doesn't change.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Write a fraction equivalent to 2/4 with denominator 12.[1]
- 2.Write a fraction equivalent to 2/3 with denominator 12.[1]
- 3.Write a fraction equivalent to 1/2 with denominator 4.[1]
- 4.Write a fraction equivalent to 3/4 with denominator 8.[1]
- 5.Write a fraction equivalent to 6/7 with denominator 35.[2]
- 6.Write a fraction equivalent to 2/5 with denominator 15.[2]
- 7.Write a fraction equivalent to 2/7 with denominator 14.[2]
- 8.Write a fraction equivalent to 7/9 with denominator 36.[2]
- 9.Find the missing number: 2/7 = ?/28[3]
- 10.Find the missing number: 4/6 = ?/18[3]
- 11.Find the missing number: 3/9 = ?/18[3]
- 12.Find the missing number: 2/8 = ?/64[3]
Show answers and working
1. 6/12
12 ÷ 4 = 3. Multiply top and bottom by 3: 2×3 / 4×3. = 6/12
2. 8/12
12 ÷ 3 = 4. Multiply top and bottom by 4: 2×4 / 3×4. = 8/12
3. 2/4
4 ÷ 2 = 2. Multiply top and bottom by 2: 1×2 / 2×2. = 2/4
4. 6/8
8 ÷ 4 = 2. Multiply top and bottom by 2: 3×2 / 4×2. = 6/8
5. 30/35
35 ÷ 7 = 5. Multiply top and bottom by 5: 6×5 / 7×5. = 30/35
6. 6/15
15 ÷ 5 = 3. Multiply top and bottom by 3: 2×3 / 5×3. = 6/15
7. 4/14
14 ÷ 7 = 2. Multiply top and bottom by 2: 2×2 / 7×2. = 4/14
8. 28/36
36 ÷ 9 = 4. Multiply top and bottom by 4: 7×4 / 9×4. = 28/36
9. 8
7 × 4 = 28, so the denominator was multiplied by 4. Do the same to the numerator: 2 × 4 = 8.
10. 12
6 × 3 = 18, so the denominator was multiplied by 3. Do the same to the numerator: 4 × 3 = 12.
11. 6
9 × 2 = 18, so the denominator was multiplied by 2. Do the same to the numerator: 3 × 2 = 6.
12. 16
8 × 8 = 64, so the denominator was multiplied by 8. Do the same to the numerator: 2 × 8 = 16.
Worked examples
Write a fraction equivalent to 1/3 with denominator 9.
- 9 ÷ 3 = 3.
- Multiply top and bottom by 3: 1×3 / 3×3.
- = 3/9
- Answer: 3/9
Write a fraction equivalent to 2/5 with denominator 20.
- 20 ÷ 5 = 4.
- Multiply top and bottom by 4: 2×4 / 5×4.
- = 8/20
- Answer: 8/20
Find the missing number: 3/7 = ?/63
- 7 × 9 = 63, so the denominator was multiplied by 9.
- Do the same to the numerator: 3 × 9 = 27.
- Answer: 27
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Adds the same number to top and bottom (1/2 → 2/3).
Correction: Only multiplying or dividing keeps the fraction the same size.
Changes only the denominator.
Correction: Whatever you do to the bottom, do to the top.
Teacher tips
- · Use fraction walls so pupils can see equal lengths.
Parent tips
- · Cut a pizza into 4 then 8 slices and compare halves.
Real-life applications
- · Recipes: 2/4 cup of milk is the same as 1/2 cup.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Equivalent Fractions lesson plan really free?
- Yes. Every lesson plans on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Mixed Numbers, Improper Fractions, Integers. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Equivalent Fractions?
- Move on to Simplifying Fractions, Comparing Fractions, Ordering Fractions, Fractions on a Number Line, which build directly on this idea.
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