A good fraction worksheet has one goal, 8 to 12 problems that run from easy to hard, and a key that shows the key step in each. The model below has 12 problems: six on equivalence, four sums in sixths and two word problems. You can copy it or use it as a template, and if you need other operations, the worksheet generator builds new sheets.
Model worksheet: equivalence and sums in sixths
The goal is to complete equivalent fractions and add fractions whose common denominator is 6. Part A practices equivalence with several denominators, and Part B uses it to add in sixths.
Part A. Fill in the equivalent fraction
- 1/2 = ?/6
- 2/3 = ?/6
- 1/5 = 4/?
- 3/4 = ?/8
- 4/6 = ?/3
- 3/5 = 9/?
Part B. Add and simplify
- 1/6 + 1/3
- 1/2 + 1/6
- 2/3 + 1/6
- 3/6 + 1/3
Part C. Two word problems
- A ribbon is 3/4 of a yard long and a piece 1/3 of a yard long is cut off. How much is left?
- A tank is 2/5 full. Another 1/4 of its capacity is added. What fraction of the tank is full now?
Answer key with the key step
A key that gives only the answer can’t be used to grade work. This one notes the key step for each problem.
Worked example: 1/4 + 1/6
A case like those in Part B, but with a common denominator smaller than the product. See how it is solved before checking the key.
- Choose the common denominator. The LCM of 4 and 6 is 12, not 24.
- Convert each fraction. 1/4 = 3/12 and 1/6 = 2/12.
- Add the numerators. 3/12 + 2/12 = 5/12.
- Simplify. 5 and 12 have no common factors, so it stays as is.
Result: 5/12.
Check: 5/12 is less than one half (6/12) and greater than each addend, 3/12 and 2/12, so the result is reasonable.
| Problem | Answer | Key step |
|---|---|---|
| A1 | 3 | 6 = 2 × 3, so the numerator is also multiplied by 3 |
| A2 | 4 | Multiply the top and bottom by 2 |
| A3 | 20 | The numerator went from 1 to 4, so × 4; the denominator is 5 × 4 |
| A4 | 6 | 8 = 4 × 2, so 3 × 2 |
| A5 | 2 | Here you divide by 2: 4 ÷ 2 and 6 ÷ 2 |
| A6 | 15 | The numerator went from 3 to 9, so × 3; the denominator is 5 × 3 |
| B1 | 1/2 | One third becomes 2/6, and the result simplifies by dividing by 3 |
| B2 | 2/3 | A sum of sixths that gives 4/6, which simplifies by dividing by 2 |
| B3 | 5/6 | A sum of sixths that is already in lowest terms |
| B4 | 5/6 | Only the third changes; the other addend is already in sixths |
| C1 | 5/12 of a yard | It is a subtraction: 9/12 − 4/12 |
| C2 | 13/20 | It is an addition: 8/20 + 5/20 |
B3 and B4 give the same value with different addends, on purpose, because the key should show the path and not just the number. In B4 one of the addends is already in sixths, and that is the clue.
Order the problems by prerequisite and difficulty
Make each problem add only one new obstacle. That way, when a student gets one wrong, you know why. This ladder is a guide for extending the worksheet: Part B only covers levels 2 and 5, and levels 1, 3 and 4 are the ones you can add.
| Level | What is needed first | Example |
|---|---|---|
| 1 | Counting equal parts | 2/7 + 3/7 = 5/7 |
| 2 | One denominator is a multiple of the other | 1/8 + 1/4 = 1/8 + 2/8 = 3/8 |
| 3 | Unrelated denominators; the common one is the product | 1/5 + 1/4 = 4/20 + 5/20 = 9/20 |
| 4 | The common denominator is smaller than the product | 1/10 + 1/4 = 2/20 + 5/20 = 7/20 |
| 5 | The result is simplified at the end | 7/20 + 1/20 = 8/20 = 2/5 |
The table separates two difficulties that often get mixed: finding the common denominator (levels 3 and 4) and reducing the result (level 5). Before Part B, it helps if Part A goes well, because converting to a common denominator is exactly the equivalence just practiced. If the goal changes, the list changes too: a multiplication worksheet needs a different ladder, and one that mixes operations without warning stops measuring a single idea.
Decide which equivalent answers you accept
If problem B1 is answered 3/6, the value is correct and only the reduction is missing; with 1/2 it is complete. Decide before handing out the worksheet what counts as a final answer and write it in the header, for example “any equivalent fraction is accepted” or “the answer must be in lowest terms.” With the second rule, mark 3/6 as “correct, needs simplifying,” not as an error.
The same decision applies to mixed numbers: 5/3 and 1 2/3 are the same value. In the practice tool with automatic checking, you can choose to accept equivalent fractions or require lowest terms, which is the digital version of this rule.
Review the sheet before printing it
Solve the whole worksheet yourself with the key covered, then compare. It is a reliable way to find an ambiguous wording or a wrongly copied result. Then go through these four points.
- No denominator is zero, and numerators and denominators are easy to read in black and white.
- There is room to write the steps under each problem.
- The problems are numbered, and the key uses the same numbers and is on a separate page.
- The worksheet carries no student names or personal details.
To check a result a different way, use the inverse operation: in the ribbon problem, 5/12 + 4/12 should give back 9/12.
Where to go next
The worksheet generator recreates a sheet from its code (the seed) only if you also keep the topic, the level and the number of questions. For classroom ideas, read fraction activities for the classroom and how to help with fractions. If you want ready-made sheets by topic, go to fraction worksheets or the teacher resources. To draw the equivalence, see visual fraction models, and for more problems with solutions, the guide to worked fraction exercises.
Sources
- Common Core State Standards for Mathematics, Grade 4, Number and Operations in Fractions: standard 4.NF.A.1 asks students to explain why a/b is equivalent to (n × a)/(n × b) using visual fraction models, and 4.NF.B.3.a describes adding and subtracting fractions as joining and separating parts of the same whole (consulted October 17, 2026).