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What you know and what you are going to know

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Following a recipe Measuring or cutting lengths * Writing Fractions in Simplest Form A fraction is in simplest form when the only common factor of the numerator and ... – PowerPoint PPT presentation

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Title: What you know and what you are going to know


1
Topic 10
2
What you know and what you are going to know
  • You know how to add and subtract whole numbers,
    like 6 9
  • Today you are going to learn how to add and
    subtract fractions with like denominators.

3
  • How do you add fractions?
  • How do you subtract fractions?

3
4
Objective
  • Add and subtract fractions and mixed numbers
    expressing answers in simplest form.

4
5
When do you think you might need to add or
subtract fractions?
  • Following a recipe

Measuring or cutting lengths
6
Think back to some of the things you already know
  • Simplest form
  • Equivalent fractions
  • Common denominators
  • Factors (GCF) and (LCF)
  • Multiples (GCM) and (LCM)
  • How to compare

7
Writing Fractions in Simplest Form
  • A fraction is in simplest form when the only
    common factor of the numerator and denominator is
    1.
  • 2 1 2
  • 3 1 3
  • 2. 27
  • 36

1. List the common factors. 2. Find the GCF. 3.
Divide by the GCF.
7
8
Mixed Number / Improper Fraction
  • When changing a mixed number to an improper
    fraction, you need to multiply the denominator by
    the integer, then add the numerator to the
    product.
  • Rewrite 4 1/2 as an improper fraction.
  • 9/2

8
9
Adding Fractions
  1. Check for common denominators.
  2. Once the denominators are the same, add the
    numerators.
  3. Always simplify your answer.
  4. If your answer doesnt match an answer choice,
    try to simplify the answer choices.

9
10
practice
11
Video with like denominators
  • http//www.youtube.com/watch?v52ZlXsFJULI

12
Find the Sum
  • 8/9 2/9
  • 9/16 4/32
  • 8 2/3 6 1/2
  • 10/9 1 1/9
  • 22/32 11/16
  • 14 7/6 15 1/6

12
13
Subtracting Fractions
  1. Check for common denominators.
  2. Once the denominators are the same, subtract the
    numerator.
  3. Always simplify your answer.
  4. If your answer doesnt match an answer choice,
    try to simplify the answer choices.

13
14
Find the Difference
  • 4/5 - 2/5
  • 8/12 - 4/9
  • 9 - 6 5/8
  • 2/5
  • 8/36 2/9
  • 2 3/8

14
15
video with unlike denominators
  • http//www.graspr.com/videos/Adding-and-Subtractin
    g-Fractions-With-UNLIKE-Denominators-1

16
Review!
  • How do you add fractions?
  • How do you subtract fractions?

16
17
Find the Difference, Find the Sum
  • 5 - 2 3/4
  • 4/5 3/10
  • 2 ¼
  • 1 1/10

17
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