Free Grade 3 Working with Equivalent Fractions Lessons
Free Grade 3 lessons for Working with 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
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with equivalent fractions
Explain working with equivalent fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with equivalent fractions
Calculate working with equivalent fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with equivalent fractions
Compare working with equivalent fractions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with equivalent fractions
Justify working with 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 Working with 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 1/2 with denominator 4.[1]
- 2.Write a fraction equivalent to 2/4 with denominator 16.[1]
- 3.Write a fraction equivalent to 1/2 with denominator 6.[1]
- 4.Write a fraction equivalent to 1/2 with denominator 8.[1]
- 5.Write a fraction equivalent to 2/8 with denominator 24.[2]
- 6.Write a fraction equivalent to 1/6 with denominator 18.[2]
- 7.Write a fraction equivalent to 1/2 with denominator 12.[2]
- 8.Write a fraction equivalent to 1/7 with denominator 14.[2]
- 9.Find the missing number: 2/10 = ?/40[3]
- 10.Find the missing number: 2/10 = ?/80[3]
- 11.Find the missing number: 1/2 = ?/12[3]
- 12.Find the missing number: 3/6 = ?/12[3]
Show answers and working
1. 2/4
4 ÷ 2 = 2. Multiply top and bottom by 2: 1×2 / 2×2. = 2/4
2. 8/16
16 ÷ 4 = 4. Multiply top and bottom by 4: 2×4 / 4×4. = 8/16
3. 3/6
6 ÷ 2 = 3. Multiply top and bottom by 3: 1×3 / 2×3. = 3/6
4. 4/8
8 ÷ 2 = 4. Multiply top and bottom by 4: 1×4 / 2×4. = 4/8
5. 6/24
24 ÷ 8 = 3. Multiply top and bottom by 3: 2×3 / 8×3. = 6/24
6. 3/18
18 ÷ 6 = 3. Multiply top and bottom by 3: 1×3 / 6×3. = 3/18
7. 6/12
12 ÷ 2 = 6. Multiply top and bottom by 6: 1×6 / 2×6. = 6/12
8. 2/14
14 ÷ 7 = 2. Multiply top and bottom by 2: 1×2 / 7×2. = 2/14
9. 8
10 × 4 = 40, so the denominator was multiplied by 4. Do the same to the numerator: 2 × 4 = 8.
10. 16
10 × 8 = 80, so the denominator was multiplied by 8. Do the same to the numerator: 2 × 8 = 16.
11. 6
2 × 6 = 12, so the denominator was multiplied by 6. Do the same to the numerator: 1 × 6 = 6.
12. 6
6 × 2 = 12, so the denominator was multiplied by 2. Do the same to the numerator: 3 × 2 = 6.
Worked examples
Write a fraction equivalent to 3/4 with denominator 8.
- 8 ÷ 4 = 2.
- Multiply top and bottom by 2: 3×2 / 4×2.
- = 6/8
- Answer: 6/8
Write a fraction equivalent to 1/4 with denominator 16.
- 16 ÷ 4 = 4.
- Multiply top and bottom by 4: 1×4 / 4×4.
- = 4/16
- Answer: 4/16
Find the missing number: 1/2 = ?/4
- 2 × 2 = 4, so the denominator was multiplied by 2.
- Do the same to the numerator: 1 × 2 = 2.
- Answer: 2
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 Working with Equivalent Fractions lesson really free?
- Yes. Every lessons 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 Introducing Equivalent Fractions, Mixed Numbers. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 Working with Equivalent Fractions?
- Move on to Equivalent Fractions in Context, Introduction to Fractions, Parts of a Fraction, Numerator, which build directly on this idea.
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