Fraction Operations Practice

Name:

Date:

📚 Part 1: Multiple Choice

1. What is 3/4 + 5/6?

19/12

1 7/12

7/12

17/12

2. What is 2 1/3 × 3/4?

7/4

1 1/6

11/12

2 1/6

3. Calculate 5/8 ÷ 2/3.

15/16

10/24

5/12

3/5

4. Check all that apply: Which expressions equal 1?

3/3

5/10 + 1/3

2/3 + 1/3

4/5 × 5/4

✏️ Part 2: Short Answers & Application

5. Convert to a mixed number and simplify fully: 19/6. Show working.

6. Simplify and explain your steps: (8/9) ÷ (4/3). Use estimation or the inverse to check your answer.

7. Real-world problem: A recipe needs 2 1/2 cups of flour. You are making 2/3 of the recipe. How much flour do you need? Show your working and give the final answer as a mixed number. Is your answer reasonable? Explain briefly.

8. Extension (algebra): Simplify (3/4)a ÷ (1/2). Then evaluate your result when a = 0.8 (write as a fraction and a decimal).

Success criteria — By the end of this worksheet you should be able to:

- Add, subtract, multiply and divide fractions (including mixed numbers) accurately.

- Convert between improper fractions and mixed numbers and simplify to lowest terms.

- Check answers using estimation or inverse operations and explain your steps.

Differentiation strategies — If you need support: use visual fraction strips or convert mixed numbers to improper fractions first; work step-by-step and check with a partner. For extension: try multi-step problems combining addition/subtraction with multiplication/division, or create your own word problem involving fractions and algebra.