Warm-Up Create equivalent fractions for the following fractions. 1.) 2 3 7 2.) 7 3.) 18
Learning Target I can add and subtract mixed fractions with unlike denominators. NF.A.1 How do our previous lessons relate to our learning target? Predict where/when/how we will use each skill today.
Our Goal 3 2 - 1 1 What is the difference? 3 6 A.) 2 1/6 B.) 2 1/3 3 2 - 1 1 3 6 A.) 2 1/6 B.) 2 1/3 C.) 2 1/2 D.) 4 5/6
Adding and Subtracting Mixed Numbers v Check this out! Our first step is to change both mixed numbers into improper fractions. 2 𝟐 𝟓 +1 𝟏 𝟐 Whole number × the denominator + the numerator over the old denominator. = 𝟏𝟐 𝟓 + 𝟑 𝟐 Next, we need to find the LCD. The LCD is 10.
Adding and Subtracting Mixed Numbers v Once we create common denominators, we’ll be ready to add. 𝟏𝟐 𝟓 + 𝟑 𝟐 𝟏𝟐 × 𝟐 𝟓 × 𝟐 + 𝟑 × 𝟓 𝟐 × 𝟓 = 𝟐𝟒 𝟏𝟎 + 𝟏𝟓 𝟏𝟎 = 𝟑𝟗 𝟏𝟎 Don’t forget to turn the improper fraction back to a mixed number! =3 𝟗 𝟏𝟎
Adding and Subtracting Mixed Numbers v That’s not so bad! The only difference is changing the mixed numbers to improper fractions before you add or subtract. So, I like a little drama with my math! Well, let’s do one more just to make sure you have it! So you panicked for nothing! v
Adding and Subtracting Mixed Numbers v Let’s try this one! First, change the mixed numbers to improper fractions. 2 𝟒 𝟖 −1 𝟐 𝟔 = 𝟐𝟎 𝟖 − 𝟖 𝟔 Next, find the LCD. 8: 8, 16, 24, 32,… The LCD is 24. 6: 6, 12, 18, 24,…
Adding and Subtracting Mixed Numbers v 𝟐𝟎 𝟖 − 𝟖 𝟔 Create common denominators! 𝟐𝟎 × 𝟑 𝟖 × 𝟑 − 𝟖 × 𝟒 𝟔 × 𝟒 = 𝟔𝟎 𝟐𝟒 − 𝟑𝟐 𝟐𝟒 = 𝟐𝟖 𝟐𝟒 Change back to a mixed number! 𝟐𝟖 ÷ 𝟒 𝟐𝟒 ÷ 𝟒 = Simplify! 𝟕 𝟔 =1 𝟏 𝟔
Add or subtract the following mixed numbers. Time to Show Your Stuff! v Add or subtract the following mixed numbers. 1)2 𝟏 𝟒 +1 𝟑 𝟒 2)3 𝟏 𝟐 − 𝟓 𝟔 =2 𝟐 𝟑 =4 3)2 𝟏 𝟓 +2 𝟐 𝟑 =4 𝟏𝟑 𝟏𝟓 4)2 𝟐 𝟑 −1 𝟑 𝟒 = 𝟏𝟏 𝟏𝟐 Let me guess…practice time? You guessed right!
If you agree, say “Ready to Roll”. If you disagree, drop the mic. Evaluate Me I added the following fractions. Do you agree or disagree with my response? Justify your reasoning. 1 2 + 1 1 = 2 3 5 5 10 If you agree, say “Ready to Roll”. If you disagree, drop the mic.
Exit Ticket 3 2 - 1 1 What is the difference? 3 6 A.) 2 1/6 B.) 2 1/3 3 2 - 1 1 3 6 A.) 2 1/6 B.) 2 1/3 C.) 2 1/2 D.) 4 5/6