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

## Presentation on theme: "Adding Mixed Numbers ar 1) I can make equivalent fractions."— Presentation transcript:

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

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.

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!

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.

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!

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?

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.

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

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.

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.

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.

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.

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 +

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.

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.

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.

- = - = 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

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

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

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???

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

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

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

= = = 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 =

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.

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.

- = 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 =

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.

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.

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.

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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05-05.ppt

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

Attachments 05-05.ppt