1. Topic: 7.52 Adding Rational with different denominators. Review: Can you find the common denominator of these fractions? 1.1+ 1 Common Denominator? 3 4 2.1 - 1 2x 3x 3. 1 + 1 (x + 1) 5 12 6x 5(x + 1) The rule: Take one of everything you see. If you have more of one item, take the largest. Lets do some more…

2. Topic: 7.52 Adding Rational with different denominators. Please find the common denominator… 1.2x, 3x, x 2.5, 8, 2 3.(x + 1), 7, 14 4.(x – 2), (x + 1) 5.2x 2, 4x 6x 40 14(x + 1) (x – 2)(x + 1) 4x 2 (take the largest “x”)

3. Topic: 7.52 Adding Rational with different denominators. Awesome! I can find the common denominator. Now what? Steps… 1. Draw a line 2. Place a box 3. Fill in the box 4. Distribute and CLT

4. Topic: 7.52 Adding Rational with different denominators. Now we’re ready to try some problems… Write the problem first 3 + 2 (x + 1) (x – 2) Steps: 1.Draw a line 2.Place a Box 3.Fill a Box 4.Distribute and CLT = (x + 1)(x – 2) What does “Fill a Box” mean? Find the LCD Find what’s missing (x + 1) =(x + 1)(x – 2) What’s missing? (x – 2) ? (x + 1) 3(x – 2) + 2(x + 1)

5. Topic: 7.52 Adding Rational with different denominators. Now we’re ready to try some problems… Write the problem first Steps: 1.Draw a line 2.Place a Box 3.Fill a Box 4.Distribute and CLT (x + 1)(x – 2) 3(x – 2) + 2(x + 1) = 3x – 6 + 2x + 2 (x + 1)(x – 2) 5x – 4 (x + 1)(x – 2)