LCD and Equivalent Fractions

Name:

Date:

Fraction circles and number line illustration

📊 Part 1: Finding LCD and Creating Equivalent Fractions

Instructions: For each pair of fractions, find the Least Common Denominator (LCD), then write both fractions as equivalent fractions using the LCD.

1. Find the LCD for 1/2 and 1/3

LCD = _____

1/2 = _____/_____ and 1/3 = _____/_____

2. Find the LCD for 1/4 and 1/6

LCD = _____

1/4 = _____/_____ and 1/6 = _____/_____

3. Find the LCD for 2/5 and 3/10

LCD = _____

2/5 = _____/_____ and 3/10 = _____/_____

4. Find the LCD for 3/8 and 1/4

LCD = _____

3/8 = _____/_____ and 1/4 = _____/_____

5. Find the LCD for 2/3 and 5/6

LCD = _____

2/3 = _____/_____ and 5/6 = _____/_____

6. Find the LCD for 1/5 and 2/15

LCD = _____

1/5 = _____/_____ and 2/15 = _____/_____

🔍 Part 2: Multiple Choice - Quick Check

7. What is the LCD of 1/3 and 1/9?

8. Which fraction is equivalent to 2/3 with denominator 12?

6/12

8/12

4/12

10/12

9. Which pairs of fractions have an LCD of 20? (Check all that apply)

1/4 and 3/5

2/5 and 1/10

3/4 and 7/20

1/2 and 1/8

🌟 Part 3: Challenge Problems and Real-World Application

10. Advanced Challenge: Find the LCD for THREE fractions: 1/4, 1/6, and 1/8

LCD = _____

1/4 = _____/_____, 1/6 = _____/_____, and 1/8 = _____/_____

11. Advanced Challenge: Find the LCD for 2/9, 1/6, and 5/12

LCD = _____

2/9 = _____/_____, 1/6 = _____/_____, and 5/12 = _____/_____

12. Recipe Problem: Sarah's recipe calls for 3/4 cup of flour and 2/3 cup of sugar. She wants to compare these amounts. Find the LCD and write both measurements with the same denominator.

LCD = _____

Flour: 3/4 = _____/_____ cup

Sugar: 2/3 = _____/_____ cup

Which ingredient uses more? ________________

Success Criteria Check:

□ I can find the LCD for pairs of fractions

□ I can create equivalent fractions using the LCD

□ I can solve real-world problems using common denominators

□ I can explain my thinking clearly