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$Adding and Subtracting fractions with Unlike denominators$

$Rewrite the problem with equivalent fractions ,[object Object],[object Object],[object Object],[object Object],[object Object]$

WHAT DOES THAT MEAN? Let’s illustrate the steps with an example. 3 4 + 1 6

3 4 + 1 6 Multiples of 4: 4, 8, 12, 16, 20 Multiples of 6: 6, 12, 18, 24, 30 + 12 12 x 3 9 x 2 2 12 11

Example 2 9 10 2 5 10, 20, 30, 40, 50 5, 10, 15, 20, 25 10 10 x 1 9 x 2 4 = 10 5 = 1 2

Homework Time!

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Adding Fractions 1. Adding Fractions with Common Denominators Add the Numerators. Keep the Denominators the same. 2. Practice time 3. Reduce or simplify if necessary… 4. Adding Fractions with Unlike Denominators 5.Find a common denominator using LCM. Multiply numerator and denominator by LCM. Add the converted fractions. 6. Least Common Multiple 7. We need to create fractions with like denominators in order to add these fractions. This is where we need LCM (Least Common Multiples) 8. The first common multiple is the Least Common Multiple This will become the new denominators in order to create like denominators to add fractions. 9. Adding Fractions with Unlike Denominators Multiples of 7: 7, 14, 21, 28 Multiples of 4: 4, 8, 12, 16, 20, 24, 28 10. Practice time Common Multiples for these numbers: 6: 5: What is the LCM? 11. Review In order to add fractions, what must you have? Explain a simplified fraction What is an LCM? What are LCMs used for? Why is it important to be able to find an LCM?

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Adding fractions 1. Adding Fractions with Common Denominators Add the Numerators. Keep the Denominators the same. 2. Practice time 3. Reduce or simplify if necessary… 4. Adding Fractions with Unlike Denominators 5.Find a common denominator using LCM. Multiply numerator and denominator by LCM. Add the converted fractions. 6. Least Common Multiple 7. We need to create fractions with like denominators in order to add these fractions. This is where we need LCM (Least Common Multiples) 8. The first common multiple is the Least Common Multiple This will become the new denominators in order to create like denominators to add fractions. 9. Adding Fractions with Unlike Denominators Multiples of 7: 7, 14, 21, 28 Multiples of 4: 4, 8, 12, 16, 20, 24, 28 10. Practice time Common Multiples for these numbers: 6: 5: What is the LCM? 11. Review In order to add fractions, what must you have? Explain a simplified fraction What is an LCM? What are LCMs used for? Why is it important to be able to find an LCM?

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Add subt unlike den1

1. Adding and Subtracting fractions with Unlike denominators

2.

3. WHAT DOES THAT MEAN? Let’s illustrate the steps with an example. 3 4 + 1 6

4. 3 4 + 1 6 Multiples of 4: 4, 8, 12, 16, 20 Multiples of 6: 6, 12, 18, 24, 30 + 12 12 x 3 9 x 2 2 12 11

5. Example 2 9 10 2 5 10, 20, 30, 40, 50 5, 10, 15, 20, 25 10 10 x 1 9 x 2 4 = 10 5 = 1 2

6. Homework Time!