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**Adding Mixed Numbers ar 1) I can make equivalent fractions.**

2) I can turn improper fractions into mixed numbers. 3) I can add mixed numbers with unlike denominators. Lesson objectives Teachers' notes

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**2 3 4 Fraction Vocabulary Drag the math term to the correct box.**

numerator 2 3 whole number 4 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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**Adding Fractions with Unlike Denominators**

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

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**Adding Fractions with Unlike Denominators**

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

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**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 + ? Put it all back together as a mixed number. 4 Add whole
numbers 1st than fractions.

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**6 65 5 10 THE PROBLEM>>> 4 2/10 2 3/10**

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

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**6 2/10 3/10 4 2 5 10 5/10 THE PROBLEM>>> 4 2/10 2 3/10**

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

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**1 Adding Fractions with Unlike Denominators 5 12 1 3 + 5 12 4 +**

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

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**Adding Mixed Numbers with Unlike Denominators**

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

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**3 3 1 Adding Mixed Numbers with Unlike Denominators 1 7 + 2 8 4 7 + 8**

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

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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. Add the fractional parts. If it is an improper fraction, turn it into a mixed number. Add the whole numbers together.

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**Use Improper Fractions A. Convert to improper fractions. **

LIKE-DENOMINATOR ADDITION RE-CAP! 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.

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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. <<Convert back to mixed number.

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**- = - = 2 4/6 = 2 2/3 Method 1: Subtract using Improper fractions**

/ /6 = 4 x x = - Step A: Convert to improper fractions. Step B: Subtract numerators. Step C: Convert back to a mixed number. = 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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**2 4/6 = 2 2/3 Method 2: Subtract using Mixed Numbers 4 5/6 - 2 1/6 =**

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

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**RE-CAP! All of these problems had like denominators.**

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

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**How many pieces are the pies cut into? Name each set of pies two ways:**

AS a Mixed Number & an Improper Fraction & &

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**3 2 How can you add or subtract when pieces are different sizes**

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

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

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**= = = 4 Method 1: Use improper fractions.**

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

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**4 1/4 + 3 1/5 PRACTICE Method 1: Use improper fractions to add. STEPS:**

4 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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**4 2/3 - 3 1/5 PRACTICE Method 1: Use improper fractions to subtract.**

4 2/ /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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**- = 3 - 2 = 1 = 1 1/6 THE PROBLEM>>> 3 1/2 - 2 1/3**

Method 2: Use Mixed Numbers. THE PROBLEM>>> / /3 Follow these steps: 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. = 1 1 x 3 = x 2 = 2 2 x 3 = x 2 = 6 - = 1 1/6 =

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**PRACTICE Method 2: Use mixed numbers to subtract.**

5 3/ /3 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:**

2 1/ /8 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/ /9 = 1 4 3/ /8 = 2 5 1/ /4 = 6 2/ /2 = 3 4

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

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05-05.ppt

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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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