4th Grade Math · Compare Fractions with Different Numerators and Denominators
Common denominator Worksheets
Fresh practice, ready to print. Answer key included.
Different numerators and denominators, such as 2/3 and 3/4, compared with a common denominator.
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How it works: a quick refresher
The rules this worksheet practices, then one problem worked from start to finish.
| Strategy | How it works |
|---|---|
| Benchmark of 1/2 | A fraction equal to 1/2 has a numerator that is half the denominator. 3/8 is less than 1/2 because 3 is less than 4. |
| Common denominator | Rewrite both fractions with the same denominator, then compare the numerators. 2/3 = 8/12 and 3/4 = 9/12, so 2/3 < 3/4. |
| One denominator may already work | If one denominator is a multiple of the other, only one fraction has to change. 1/2 = 4/8, so compare 4/8 and 5/8. |
| Equal fractions | Different writing can be the same amount. 2/3 = 8/12, so the sign is =. |
| Hundredths | Compare 3/4 and 70/100 by writing 3/4 as 75/100. 75 hundredths is more than 70. |
Worked example
Compare 5/8 and 1/2.
- 1Write 1/2 with denominator 8. Half of 8 is 4, so 1/2 = 4/8.
- 25/8 and 4/8 have the same denominator.
- 35 is more than 4, so 5/8 is greater than 4/8.
- 45/8 > 1/2.
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- Common denominator Worksheets, version 1Worksheet PDFAnswer key PDF
- Common denominator Worksheets, version 2Worksheet PDFAnswer key PDF
- Common denominator Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 4th grade math (fractions) and aligned to CCSS 4.NF.A.2. It also works as review in later grades.
Common questions
- Is there an answer key?
- Yes. Every worksheet has a matching answer key with each answer worked on the same grid or layout as the question. The worksheet code printed at the bottom of each page pairs a sheet with its key.
- Is 2/4 allowed as a benchmark instead of 1/2?
- 2/4 is the same amount as 1/2, and it is a fair comparison. This section writes the benchmark as 1/2 so the first step is to make a fraction equal to one half.
- What if my child gets a common denominator that is larger than it needs to be?
- A larger common denominator still works. 2/3 = 16/24 and 3/4 = 18/24 gives the same order as 8/12 and 9/12. Smaller denominators are less arithmetic, not a different answer.
- How many different versions are there?
- About a million per skill. Each time you press the button the problems are generated fresh, so you can print a different version for every student, a retake, or another night of practice.
- Are the worksheets free?
- Yes. They are free to print and copy for your home or classroom, with no sign-up.
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