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Lesson 6.1 Adding and Subtracting Fractions

- Standards NS 1.2 and NS 2.2
- Objectives Add and subtract fractions with like

denominators. - Add and subtract fractions with unlike

denominators.

Types of Fractions

- Proper fractions
- Improper fractions
- Whole numbers
- Mixed Numbers

Like Denominators

- If you already have a common denominator, add or

subtract the numerators! - Do NOT add or subtract the denominators.

Problem 1

- Add the fractions.
- Reduce if necessary.

Problem 2

- Subtract the fractions.
- Reduce if necessary.

Problem 3

- Add and subtract.
- Reduce if necessary.

Problem 4

- You work at a pizza shop. A customer orders ¼

mushrooms and 1 ¾ pepperoni. - How many pizzas did the customer order
- (¼ 1 ¾)?

- Draw a picture of the fractions, then solve using

addition or subtraction. - Reduce if necessary.

Thats right! 2 Whole Pizzas!

Unlike Denominators

- You need to find a common denominator first!
- To do this, use the LCM of the two denominators.
- After the denominators are the same, add or

subtract the numerators!

Problem 1

- Subtract the fractions.
- Simplify if possible.

Problem 2

- You run 3 ½ miles and then walk ¾ mile to cool

down. What distance do you cover while exercising?

Problem 3

- Draw a picture of the fractions, then solve using

addition or subtraction. - Reduce if necessary.

- You work at a pizza shop. A customer orders ¼

pineapple, ½ sausage, and 11/8 cheese, and 1/8

canadian bacon. - How many pizzas did the customer order
- ( ¼ ½ 11/8 1/8)?

Problem 4

- 3 Things to Think About
- I need common denominators
- I need to make sure I multiply the numerator and

denominator by the same amount to make an

equivalent fractions. - I will then combine like terms (if the

denominators are the same).

- Challenge! Add the fractions.
- Simplify if necessary.

Problem 4

Problem 5(Last one.I Promise ?)

Evaluate the variable expression when

, , and

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