Download presentation

Published byAllan Nichols Modified over 9 years ago

1
**3-8 Equivalent Fractions and Mixed Numbers Warm Up**

Course 2 3-8 Equivalent Fractions and Mixed Numbers Warm Up Name a common factor for each pair. 1. 5 and 10 2. 9 and 12 3. 20 and 24 4. 10 and 14 5. 6 and 8 6. 8 and 15 Possible answers: 5 3 4 2 2 1

2
Course 2 3-8 Equivalent Fractions and Mixed Numbers Learn to identify, write, and convert between equivalent fractions and mixed numbers.

3
**Insert Lesson Title Here**

Course 2 3-8 Equivalent Fractions and Mixed Numbers Insert Lesson Title Here Vocabulary equivalent fractions improper fractions mixed number

4
**3-8 Equivalent Fractions and Mixed Numbers**

Course 2 3-8 Equivalent Fractions and Mixed Numbers In some recipes the amounts of ingredients are given as fractions, and sometimes those fractions do not equal the fractions on a measuring cup. Knowing how fractions relate to each other can be very helpful. Different fractions can name the same number. 3 5 6 10 15 25 = =

5
**3-8 Equivalent Fractions and Mixed Numbers**

Course 2 3-8 Equivalent Fractions and Mixed Numbers In the diagram = These are called equivalent fractions because they are different expressions for the same nonzero number. 3 5 6 10 15 25 = To create fractions equivalent to a given fraction, multiply or divide the numerator and denominator by the same number. 3 5 3 · 2 5 · 2 6 10 15 25 15 ÷ 5 25 ÷ 5 3 5 = = = =

6
**3-8 Equivalent Fractions and Mixed Numbers Remember! 3**

Course 2 3-8 Equivalent Fractions and Mixed Numbers Remember! is in simplest form because the greatest common factor of 3 and 5 is 1. 3 5

7
**Additional Example 1: Finding Equivalent Fractions**

Course 2 3-8 Equivalent Fractions and Mixed Numbers Additional Example 1: Finding Equivalent Fractions Find a fraction equivalent to the given fraction. 5 7 A. 5 7 5 · 3 15 21 = Multiply numerator and denominator by 3. = 7 · 3 18 24 B. Divide numerator and denominator by 2. 18 24 18 ÷ 2 24 ÷ 2 9 12 = =

8
**Insert Lesson Title Here**

Course 2 3-8 Equivalent Fractions and Mixed Numbers Insert Lesson Title Here Try This: Example 1 Find a fraction equivalent to the given fraction. 3 8 A. 3 8 3 · 2 6 16 = Multiply numerator and denominator by 2. = 8 · 2 6 12 B. 6 12 6 ÷ 3 12 ÷ 3 Divide numerator and denominator by 3. 2 4 = =

9
**3-8 Equivalent Fractions and Mixed Numbers**

Course 2 3-8 Equivalent Fractions and Mixed Numbers To determine if two fractions are equivalent, find a common denominator and compare the numerators. You can also put both fractions into simplest form and see if they are equal.

10
**Additional Example 2A: Determining Whether Fractions are Equivalent**

Course 2 3-8 Equivalent Fractions and Mixed Numbers Additional Example 2A: Determining Whether Fractions are Equivalent Write the fractions with a common denominator. Then determine if they are equivalent. 4 6 28 42 A and Both fractions can be written with a denominator of 3. 4 6 4 ÷ 2 6 ÷ 2 2 3 = = 28 42 28 ÷ 14 42 ÷ 14 2 3 = = The numerators are equal, so the fractions are equivalent.

11
**Additional Example 2B: Determining Whether Fractions are Equivalent**

Course 2 3-8 Equivalent Fractions and Mixed Numbers Additional Example 2B: Determining Whether Fractions are Equivalent Write the fractions with a common denominator. Then determine if they are equivalent. 6 10 20 25 B and Both fractions can be written with a denominator of 50. 6 10 6 · 5 10 · 5 30 50 = = 20 25 20 · 2 25 · 2 40 50 = = The numerators are not equal, so the fractions are not equivalent.

12
**Insert Lesson Title Here**

Course 2 3-8 Equivalent Fractions and Mixed Numbers Insert Lesson Title Here Try This: Example 2A Write the fractions with a common denominator. Then determine if they are equivalent. A and 3 9 6 18 Both fractions can be written with a denominator of 3. 3 9 3 ÷ 3 9 ÷ 3 1 3 = = 6 18 6 ÷ 6 18 ÷ 6 1 3 = = The numerators are equal, so the fractions are equivalent.

13
**Insert Lesson Title Here**

Course 2 3-8 Equivalent Fractions and Mixed Numbers Insert Lesson Title Here Try This: Example 2B Write the fractions with a common denominator. Then determine if they are equivalent. 4 12 9 48 B and Both fractions can be written with a denominator of 96. 4 12 4 · 8 12 · 8 32 96 = = 9 48 9 · 2 48 · 2 18 96 = = The numerators are not equal, so the fractions are not equivalent.

14
**3-8 Equivalent Fractions and Mixed Numbers 8 5 3 5 = 1 8 5 3 5**

Course 2 3-8 Equivalent Fractions and Mixed Numbers 8 5 3 5 is an improper 1 is a mixed fraction. Its numerator is greater than its denominator. number. It contains both a whole number and a fraction. 8 5 3 5 = 1

15
**3-8 Equivalent Fractions and Mixed Numbers **

Course 2 3-8 Equivalent Fractions and Mixed Numbers Additional Example 3: Converting Between Improper Fractions and Mixed Numbers 13 5 A. Write as a mixed number. First divide the numerator by the denominator. 13 5 3 5 Use the quotient and remainder to write a mixed number. = 2 2 3 B. Write 7 as an improper fraction. First multiply the denominator and whole number, and then add the numerator. + Use the result to write the improper fraction. 2 3 3 · 7 + 2 23 3 = 7 = 3

16
**3-8 Equivalent Fractions and Mixed Numbers Try This: Example 3**

Course 2 3-8 Equivalent Fractions and Mixed Numbers Try This: Example 3 15 6 A. Write as a mixed number. First divide the numerator by the denominator. 15 6 3 6 1 2 = 2 Use the quotient and remainder to write a mixed number. = 2 1 3 B. Write 8 as an improper fraction. First multiply the denominator and whole number, and then add the numerator. + Use the result to write the improper fraction. 1 3 3 · 8 + 1 25 3 = 8 = 3

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google