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LCM for Fraction Pairs

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LCM for Fraction Pairs

🎯 Learning Goals

I can... find the least common multiple (LCM) of denominators to compare and add fractions.

Success Criteria:

  • I can identify the denominators in fraction pairs
  • I can find the LCM of two numbers using listing or prime factorization
  • I can use the LCM as a common denominator for fractions

📚 Part 1: Finding LCM for Denominators

1. Find the LCM of the denominators for 1/4 and 1/6.

10

12

24

8

2. What is the LCM of 8 and 12?
3. Find the LCM for these fraction pairs:

a) 3/5 and 2/15: LCM = _______

b) 1/6 and 5/9: LCM = _______

c) 2/3 and 7/12: LCM = _______

4. Which pairs have an LCM of 20? Check all that apply:

1/4 and 3/5

2/10 and 1/20

3/4 and 7/10

1/5 and 3/20

✏️ Part 2: Apply Your Knowledge

5. Maya wants to add 2/3 + 1/4. What should be her first step?
6. Show your work to find the LCM of 9 and 15 using the listing method:
7. Challenge: Find the LCM for three denominators: 4, 6, and 8
8. Explain why finding the LCM is important when working with fractions:

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