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Least Common Denominator

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Least Common Denominator worksheet preview

Least Common Denominator

Fractions worksheet illustration

📚 Part 1: Finding the Least Common Denominator

1. List the first 5 multiples of each number, then find the LCD:

Fractions: 1/3 and 1/4

Multiples of 3: _____, _____, _____, _____, _____

Multiples of 4: _____, _____, _____, _____, _____

LCD = _____

2. Find the LCD for these pairs of fractions:

a) 1/6 and 1/8 LCD = _____

b) 2/5 and 3/10 LCD = _____

c) 3/4 and 5/6 LCD = _____

d) 7/8 and 1/3 LCD = _____

3. Multiple Choice: What is the LCD of 1/5 and 1/10?

5

10

15

50

✏️ Part 2: Rewriting Fractions with Common Denominators

4. Use the LCD to rewrite these fractions as equivalent fractions:

Example: 2/3 and 1/4 → LCD = 12 → 8/12 and 3/12

a) 3/4 and 5/6 → LCD = _____ → _____ and _____

b) 1/3 and 3/8 → LCD = _____ → _____ and _____

c) 2/5 and 1/4 → LCD = _____ → _____ and _____

5. Show your work to find the LCD and rewrite the fractions:

Fractions: 7/10 and 2/15

6. Explain in your own words: Why do we need to find the LCD when adding fractions?

🧮 Part 3: Application Problems

7. Sarah ate 1/4 of a pizza and Tom ate 1/6 of the same pizza. Before you can find how much pizza they ate together, you need to rewrite the fractions with a common denominator.

LCD of 1/4 and 1/6 = _____

1/4 = _____ 1/6 = _____

8. Challenge: Find the LCD of these three fractions: 1/2, 1/3, and 1/4
9. True or False: Check all statements that are correct:

The LCD is always the product of the two denominators

The LCD is the smallest common multiple of the denominators

You can add fractions without finding the LCD first

Equivalent fractions have the same value

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