Equivalent fractions and comparing fractions is a cornerstone of Grade 4 math. Fourth graders learn that the same quantity can be written many ways — 1/2 = 2/4 = 3/6 — and that multiplying or dividing both numerator and denominator by the same number produces an equivalent fraction. Students also simplify fractions to lowest terms and compare fractions with unlike denominators by finding a common denominator or using benchmark fractions like 1/2.
The main challenge is that students rely on comparing numerators or denominators in isolation rather than understanding what each fraction represents. They may conclude 3/4 < 2/5 because 4 > 5, ignoring that the denominators represent different-sized parts. Simplifying fractions is also error-prone — students divide only the numerator, or use a factor that is not the greatest common factor. In Grade 3, students compared fractions with the same numerator or denominator; Grade 4 extends comparison to unlike denominators.
Our equivalent fractions and comparing worksheets give fourth graders structured practice correcting equivalence errors, simplifying fractions, matching fractions to simplest form, converting between mixed numbers and improper fractions, and solving real-world fraction comparison problems.
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Browse all 12 printable worksheets below — click any card to open the full page.
Equivalent Fractions & Comparing
Equivalent Fractions & Comparing
Equivalent Fractions & Comparing
Equivalent Fractions & Comparing
Equivalent Fractions & Comparing
Equivalent Fractions & Comparing
Equivalent Fractions & Comparing
Equivalent Fractions & Comparing
Equivalent Fractions & Comparing
Equivalent Fractions & Comparing
Equivalent Fractions & Comparing
Equivalent Fractions & Comparing
What's Included in This Download
What You'll Learn
These equivalent fractions & comparing worksheets help grade 4 students develop essential math skills through engaging activities.
Learning Objectives
- Equivalent Fractions: Multiply or divide to find equivalent fractions
- Simplify: Reduce fractions to lowest terms
- Compare Fractions: Use common denominators or benchmarks to compare
- Order Fractions: Place fractions on a number line in order
- Mixed Numbers: Convert between improper fractions and mixed numbers
Skills Covered
How to Use These Worksheets
- Download & Print: Click the download button to get the PDF. Print on standard 8.5" x 11" paper.
- Start Simple: Begin with easier pages before moving to more challenging activities.
- Daily Practice: Dedicate 10-15 minutes each day for consistent learning.
- Use Manipulatives: Pair worksheets with physical objects like blocks or counters.
- Provide Encouragement: Celebrate progress and effort to build confidence.
- Check Progress: Use the included answer key to review work together.
Common Mistakes to Watch For
- Comparing fractions by numerator or denominator alone — students look at denominators and conclude 3/8 > 3/4 because 8 > 4, forgetting that a larger denominator means smaller individual parts.
- Simplifying only the numerator — when simplifying 6/8, students divide 6 by 2 to get 3 but leave the denominator as 8, writing 3/8 instead of 3/4. Both numerator and denominator must be divided by the same factor.
- Using incorrect multipliers for equivalent fractions — students compute 2/3 = 6/12 by multiplying the numerator by 3 but the denominator by 4, producing a fraction that is not equivalent. The same number must multiply both parts.
Frequently Asked Questions
How do you find an equivalent fraction?
Multiply both the numerator and the denominator by the same nonzero number. For 3/5: multiply both by 2 to get 6/10, or by 3 to get 9/15, or by 4 to get 12/20. You can also divide both parts by a common factor — this produces simpler equivalent fractions. The key is that whatever you do to the numerator, you must do to the denominator, and vice versa.
How do you simplify a fraction to its lowest terms?
Find the greatest common factor (GCF) of the numerator and denominator, then divide both by it. For 6/8: the GCF of 6 and 8 is 2, so divide both: 6 ÷ 2 = 3, 8 ÷ 2 = 4, giving 3/4. If you use a smaller common factor first (dividing 6/8 by 2 to get 3/4, for example), you still reach the same simplest form — it just takes an extra step.
How do you compare fractions with unlike denominators?
The most reliable method is to find a common denominator — a number both denominators divide into evenly — and convert both fractions. For 3/4 and 5/6: a common denominator is 12. Convert: 3/4 = 9/12, 5/6 = 10/12. Now compare: 9/12 < 10/12, so 3/4 < 5/6. You can also use benchmark fractions (is each fraction closer to 0, 1/2, or 1?) for quick estimation.
How do you convert between mixed numbers and improper fractions?
To convert a mixed number to an improper fraction: multiply the whole number by the denominator, then add the numerator. For 4 2/3: (4 × 3) + 2 = 14, so 4 2/3 = 14/3. To convert an improper fraction to a mixed number: divide the numerator by the denominator. For 7/3: 7 ÷ 3 = 2 remainder 1, so 7/3 = 2 1/3.
What is a benchmark fraction and how does it help comparisons?
Benchmark fractions are common reference points — 0, 1/4, 1/2, 3/4, and 1. To quickly compare fractions, ask whether each is less than, equal to, or greater than 1/2. For 5/12 vs. 7/10: 5/12 is slightly less than 1/2 (since 6/12 = 1/2), while 7/10 is greater than 1/2. So 7/10 > 5/12 without computing a common denominator. Benchmark thinking is especially useful for estimation and checking whether an answer is reasonable.
Are these worksheets really free?
Yes! All our worksheets are 100% free to download and print. There's no subscription, no hidden fees, and no registration required.
Can I use these in my classroom?
Absolutely! Teachers are welcome to print and use these worksheets in their classrooms. Make as many copies as needed for your students.