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Adding Unlike Denominators

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Adding Unlike Denominators

Adding Unlike Denominators

Fraction strips illustration

🔢 Part 1: Finding Common Denominators

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

a) 1/3 and 1/4 LCD = _______

b) 2/5 and 1/10 LCD = _______

c) 3/4 and 1/6 LCD = _______

d) 1/2 and 3/8 LCD = _______

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

a) 1/3 = ___/12 and 1/4 = ___/12

b) 2/5 = ___/10 and 1/10 = ___/10

c) 3/4 = ___/12 and 1/6 = ___/12

➕ Part 2: Adding Unlike Denominators

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

a) 1/3 + 1/4 = _______

b) 2/5 + 1/10 = _______

c) 3/4 + 1/6 = _______

d) 1/2 + 3/8 = _______

🎯 Part 3: Mixed Numbers and Unlike Denominators

4. Add these mixed numbers with unlike denominators:

a) 1 1/2 + 2/3 = _______

b) 2 1/4 + 1 1/3 = _______

c) 3 2/5 + 1/10 = _______

🎨 Part 4: Visual Representation

5. Draw fraction strips or circles to show: 1/4 + 1/3
6. Use your drawing to explain why 1/4 + 1/3 = 7/12:

🤔 Part 5: Problem Solving

7. Sarah ate 1/3 of a pizza and Tom ate 1/4 of the same pizza. What fraction of the pizza did they eat altogether?

Answer: _____________

8. A recipe calls for 2/3 cup of flour and 1/4 cup of sugar. How many cups of dry ingredients are needed in total?

Answer: _____________

9. Circle the correct answer for: 3/8 + 1/4

4/12

5/8

7/8

4/32

✅ Part 6: Check Your Understanding

10. Which steps are needed when adding fractions with unlike denominators? Check all that apply:

Find the least common denominator (LCD)

Convert to equivalent fractions

Add the denominators together

Add the numerators

Simplify the answer if possible

11. Explain in your own words why we need to find a common denominator before adding fractions:
12. Challenge: Add 5/6 + 3/8 + 1/4

Answer: _____________

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