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Adding Unlike Fractions

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Adding Unlike Fractions

Adding Unlike Fractions

Fractions illustration

🔢 Part 1: Finding Common Denominators

1. Find the least common denominator (LCD) for each pair of fractions:

a) 1/3 and 1/6 LCD = _____

b) 2/5 and 1/4 LCD = _____

c) 3/8 and 1/2 LCD = _____

d) 1/6 and 3/4 LCD = _____

2. Convert these fractions to equivalent fractions with the given denominator:

a) 1/2 = ____/8

b) 3/4 = ____/12

c) 2/3 = ____/15

d) 5/6 = ____/18

➕ Part 2: Adding Unlike Fractions

3. Add these fractions. Show your working in the boxes below:

a) 1/4 + 1/3 = _____

b) 2/5 + 1/2 = _____

c) 3/8 + 1/4 = _____

d) 1/6 + 2/3 = _____

➖ Part 3: Subtracting Unlike Fractions

4. Subtract these fractions. Show your working in the boxes below:

a) 3/4 - 1/3 = _____

b) 5/6 - 1/2 = _____

c) 7/8 - 1/4 = _____

d) 2/3 - 1/6 = _____

🎯 Part 4: Multiple Choice

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

1/2

2/9

1/9

2/6

6. What is 3/4 - 1/8?

5/8

2/4

1/2

2/3

7. Which fractions are equivalent to 1/2? (Check all that apply)

2/4

3/6

4/9

5/10

6/12

📊 Part 5: Word Problems

8. Sarah ate 1/4 of a pizza and Tom ate 1/3 of the same pizza. How much pizza did they eat altogether?

Answer: ____________

9. A recipe calls for 3/4 cup of flour, but you only have 1/3 cup. How much more flour do you need?

Answer: ____________

10. James walked 2/3 of a kilometre to school and 1/4 of a kilometre to the library. What is the total distance he walked?

Answer: ____________

🔄 Part 6: Mixed Practice

11. Complete these calculations:

a) 1/2 + 1/5 = _____

b) 5/6 - 1/3 = _____

c) 3/10 + 2/5 = _____

d) 7/8 - 3/4 = _____

e) 1/4 + 2/3 = _____

f) 4/5 - 1/2 = _____

12. Explain in your own words how to add fractions with unlike denominators:

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