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Lesson 6.1: Adding and Subtracting Fractions

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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 ... – PowerPoint PPT presentation

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Title: Lesson 6.1: Adding and Subtracting Fractions


1
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.

2
Types of Fractions
  • Proper fractions
  • Improper fractions
  • Whole numbers
  • Mixed Numbers

3
Like Denominators
  • If you already have a common denominator, add or
    subtract the numerators!
  • Do NOT add or subtract the denominators.

4
Problem 1
  • Add the fractions.
  • Reduce if necessary.

5
Problem 2
  • Subtract the fractions.
  • Reduce if necessary.

6
Problem 3
  • Add and subtract.
  • Reduce if necessary.

7
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!
8
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!

9
Problem 1
  • Subtract the fractions.
  • Simplify if possible.

10
Problem 2
  • You run 3 ½ miles and then walk ¾ mile to cool
    down. What distance do you cover while exercising?

11
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)?

12
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.

13
Problem 4
14
Problem 5(Last one.I Promise ?)
Evaluate the variable expression when
, , and
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