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Adding Mixed Numbers Lesson objectives Teachers' notes 1) I can make equivalent fractions. 2) I can turn improper fractions into mixed numbers. 3) I can add mixed numbers with unlike denominators. ar

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Fraction Vocabulary 2 3 4 Drag the math term to the correct box. whole number numerator denominator Pull A whole number and a fraction together is called a mixed number.

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Finding Common Denominators In order to add fractions, they have to have a common denominator. Otherwise it's like comparing... and Need a review on finding common denominators? Click here!

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Click here to see them with common denominators. Adding Fractions with Unlike Denominators 3 10 2 5 + Click here to see them with common denominators. 3 10 4 + Pull Drag the pieces from the top fraction bar down to the bottom to show adding them together.

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Click here to see them with common denominators. 3 4 5 8 + Adding Fractions with Unlike Denominators Click here to see them with common denominators. 6 8 5 8 + Pull Drag the pieces from the top fraction bar down to the bottom to show adding them together. Need a review on converting improper fractions to mixed numbers? Click here!

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4 4 Method 1: Use Improper Fractions What size parts are the circles cut into? How many yellow parts are on each side of the + ? 4 4 How many 4ths in all? >> << How many wholes and remaining parts?

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Method 2: Use Mixed Numbers What size parts are the circles cut into? How many whole circles and how many parts are yellow on each side of the + ? 4 Add whole numbers 1st than fractions. Put it all back together as a mixed number.

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5 10 6 65 10 Let's try Method 1 again! Use Improper Fractions without models... 4 2/10 2 3/10 Step A: Convert to improper fractions Step B: Add numerators & keep denominator. Step C: Convert to mixed number. 4 10 2 2 10 3 10 10 42 23 10 THE PROBLEM>>> 42 23 10

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Let's try Method 2 again! Use Mixed Numbers without models... 4 2/10 2 3/10 Step A: Add the whole numbers first Step B: Add the fractions next. Step C: Add everything together. 4 2 2/10 3/10 THE PROBLEM>>> 6 5/10 6 5 10

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5 12 1 3 + 1 Adding Fractions with Unlike Denominators Click here to see them with common denominators. 5 12 4 + 1 Pull Drag the pieces from the top fraction bar down to the bottom to show adding them together.

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Adding Mixed Numbers with Unlike Denominators 1 9 2 3 + 11 Click here to see them with common denominators. 1 9 6 9 + 11 Pull Drag the pieces from the top fraction bar down to the bottom to show adding them together.

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Click here to see them with common denominators. Pull Drag the pieces from the top fraction bar down to the bottom to show adding them together. Adding Mixed Numbers with Unlike Denominators 1 2 7 8 + 3 1 Click here to see them with common denominators. 4 8 7 8 + 3 1

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So...what do we do if we don't have fraction strips? With your group, solve the following problem. Keep track of what steps you are taking to figure out the answer. 3 11 12 5 7 9 +

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How to Add Mixed Numbers Find a common denominator and make equivalent fractions. If it is an improper fraction, turn it into a mixed number. Add the fractional parts. Add the whole numbers together.

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Method 1: Use Improper Fractions A. Convert to improper fractions. B. Add numerators & keep denominators. C. Convert to mixed number. Method 2: Use Mixed Numbers A. Add the whole numbers first. B. Add fraction numerators & keep denominator. C. Combine everything together. LIKE-DENOMINATOR ADDITION R E-CAP!

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Method 1: Use Improper Fractions to subtract What fraction parts are the bars cut into? How many parts are blue on each side of the - ? Take away the parts of the 2nd fraction. <

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Method 1: Subtract using Improper fractions 4 5/6 - 2 1/6 = Step A: Convert to improper fractions. Step B: Subtract numerators. Step C: Convert back to a mixed number. 4 x 6 + 5 2 x 6 + 1 29 13 6 6 6 6 - = - 29 - 13 16 6 6 = 16 6 = 2 4/6 = 2 2/3

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Method 2: Subtract using Mixed Numbers What fraction parts are the bars cut into? How many whole bars and how many parts are blue on each side of the - ? 1st Whole # take away 2nd whole # 1st Numerator take away 2nd numerator

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Method 2: Subtract using Mixed Numbers 4 5/6 - 2 1/6 = Step A: Subtract whole numbers and subtract fractions Step B: Combine results to a mixed number. Step C: Simplify if needed. 4 - 2 + 5 1 6 6 - 4 6 2 += 2 4/6 2 4/6 = 2 2/3

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Method 2: Use Mixed Numbers A. Subtract the whole numbers first. B. Subtract fraction numerators & keep denominator. C. Keep as mixed number. All of these problems had like denominators. What if the denominators are unlike??? Method 1: Use Improper Fractions A. Convert to improper fractions. B. Subtract numerators & keep denominators. C. Convert to mixed number. RE-CAP! LIKE-DENOMINATOR SUBTRACTION

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How many pieces are the pies cut into? N ame each set of pies two ways: AS a Mixed Number & an Improper Fraction &&

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Great Job! How can you add or subtract when pieces are different sizes or 22 6 3 4 6 Look underneath! 10 12 2 or 34 12 Look underneath!

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You can cut the pies... and make the pieces the same size!!!

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9 x 3 = 27 8 x 5 = 40 5 x 3 = 15 3 x 5 = 15 67 / 15 4 r 7 7 15 15 15 = 4 = Method 1: Use improper fractions. A. Convert to improper fractions. B. Find least common denominator. C. Add numerators & keep denominators. D. Convert to mixed number. THE PROBLEM>>> 1 4/5 + 2 2/3 1 5 + 4 2 3 + 2 5 3 9 8 5 3 27 + 40 67 15 15 = Follow these steps:

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PRACTICE Method 1: Use improper fractions to add. 4 1/4 + 3 1/5 STEPS: A. Convert to improper fractions. B. Find least common denominator. C. Add numerators & keep denominators. D. Convert to mixed number.

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PRACTICE Method 1: Use improper fractions to subtract. 4 2/3 - 3 1/5 STEPS: A. Convert to improper fractions. B. Find least common denominator. C. Subtract numerators & keep denominators. D. Convert to mixed number.

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1 1/6 = Method 2: Use Mixed Numbers. A. Subtract whole numbers first. B. Find least common denominator of fractions. C. Subtract numerators & keep denominators. D. Put whole number and fraction back together. THE PROBLEM>>> 3 1/2 - 2 1/3 3 - 2 = 1 1 x 3 = 3 1 x 2 = 2 2 x 3 = 6 3 x 2 = 6 - 3 - 2 1 6 6 = Follow these steps:

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5 3/4 - 2 1/3 PRACTICE Method 2: Use mixed numbers to subtract. STEPS: A. Subtract whole numbers first. B. Find least common denominator of fractions. C. Subtract numerators & keep denominators. D. Keep answer as a mixed number.

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2 1/3 + 5 3/8 PRACTICE Method 2: Use mixed numbers to add. STEPS: A. Add whole numbers first. B. Find least common denominator of fractions. C. Add numerators & keep denominators. D. Keep answer as a mixed number.

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What do you have to remember to do when adding or subtracting mixed numbers with unlike denominators??? Does it matter which method you use for adding or subtracting? Explain.

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PRACTICE PROBLEMS USE METHOD 1 OR 2 (Remember to find a common denominator and be sure to watch the signs!) 1 2/3 + 3 1/9 = 4 3/4 - 2 3/8 = 1 3 4 2 5 1/3 - 3 1/4 = 6 2/5 + 3 1/2 =

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practice 5-5 Grade:«grade» Subject: «subject» Date: «date»

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3 Problems to solve: 2 Things you learned. 1 Question you still have.

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Attachments 05-05.ppt

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