Fraction worksheets
Shapes cut into equal parts, from halves to twelfths.
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Example
Adding and subtracting fractions with like denominators: 12 problems, medium level
A fourth-grade teacher wants practice with fractions that share a denominator. Settings: Add and subtract, level Medium (up to eighths), 12 questions, answer page on, sheet number 1, name and date at the top, US Letter.
- The 12 problems sit in 3 columns of 4, each with empty boxes for the answer’s numerator and denominator.
- Each pair shares a denominator of 3, 4, 5, 6 or 8 (halves are left out of sums); a sum never goes over 1 and a difference is never 0.
- Answers are simplified: 3/4 – 1/4 is 2/4, written 1/2, and 1/4 + 3/4 is written as the whole number 1. A sheet holds a sum and its swap (3/4 + 1/4) only once, and at most two sums of exactly 1.
- Sheet number 2 gives 12 new problems, starting 2/8 + 3/8, 2/3 + 1/3 and 5/8 + 2/8: a second version of the same quiz.
| No. | Problem | On the answer page |
|---|---|---|
| 1 | 1/4 + 3/4 | 1 |
| 2 | 2/3 + 1/3 | 1 |
| 3 | 2/4 + 1/4 | 3/4 |
| 4 | 3/8 – 2/8 | 1/8 |
| 5 | 1/5 + 3/5 | 4/5 |
| 6 | 4/5 – 1/5 | 3/5 |
| 7 | 3/6 – 2/6 | 1/6 |
| 8 | 3/4 – 1/4 | 1/2 |
| 9 | 1/6 + 4/6 | 5/6 |
| 10 | 2/4 – 1/4 | 1/4 |
| 11 | 3/8 + 3/8 | 3/4 |
| 12 | 4/6 – 3/6 | 1/6 |
adding-and-subtracting-fractions.pdf: the worksheet with name and date lines and “Work out each sum. Simplify the answer if you can.”, then the answer page with the answers in blue.
How it works
- Pick the sheet: name the fraction shaded, shade a fraction, simplify, or add and subtract.
- Pick the shapes and the level — halves to quarters first, up to twelfths later.
- Choose how many questions go on the page.
- Download the PDF; the answers follow on the next page.
Frequently asked questions
- Are the parts really equal?
- Yes. Circles are cut into equal sectors and bars and rectangles into equal strips and cells, drawn as exact lines, so a quarter is a quarter.
- What do the sums look like?
- Two fractions with the same denominator, added or subtracted, such as 3/8 + 2/8. The answer is given in its simplest form, and a whole answer is written as a whole number.
- Is there a fraction wall?
- Yes: choose the fraction wall for strips from one whole down to twelfths, one under the other and each part labelled, or the fraction circles to cut out.
- Which denominators come up at each level?
- Easy: halves, thirds and quarters. Medium: 2, 3, 4, 5, 6 and 8. Harder: also tenths and twelfths. Sums and differences use thirds and up; halves still come up on the other sheets.
- How do I get a different sheet with the same settings?
- Change the sheet number. Each number gives its own set of questions, and the same number always gives the same sheet, so a class can share sheet 3 and its answer page.
- Is anything uploaded?
- No. The sheet is made in your browser. On the free plan a small line with our name is printed at the foot of the last page.