Everyday Math Grade 4 – Lesson 7.7 Equivalent Fractions

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Presentation transcript:

Everyday Math Grade 4 – Lesson 7.7 Equivalent Fractions Copyright © 2012 Kelly Mott

Equivalent Fractions Introduction Equivalent Fractions with Fraction Arrays Equivalent Fractions using Multiplication Equivalent Fractions using Division Fractions in Simplest Form Copyright © 2012 Kelly Mott

Equivalent Fractions 1/2 1/3 1/4 1/6 1/8 Copyright © 2012 Kelly Mott

1 2 = 2 4 Equivalent Fractions 1 1 4 1 2 4 Equivalent fractions show the same amount but have different numerators and denominators. 1 2 1 1 = 4 1 2 4 2 4 Copyright © 2012 Kelly Mott

1 = 2 Equivalent Fractions 1 1 2 Equivalent fractions are sometimes called equal fractions. They both start with an e! 1 1 1 = 2 2 Copyright © 2012 Kelly Mott

Let’s Practice Naming Equivalent Fractions! 1/2 1/3 1/4 1/6 1/8 Copyright © 2012 Kelly Mott

Practice 1: Equivalent Fractions = = 2 Copyright © 2012 Kelly Mott

Practice 2: Equivalent Fractions 1 = = 2 Copyright © 2012 Kelly Mott

Practice 3: Equivalent Fractions 1 = 2 Copyright © 2012 Kelly Mott

Practice 4: Equivalent Fractions 3 = 4 Copyright © 2012 Kelly Mott

Practice 5: Equivalent Fractions 2 = 3 Copyright © 2012 Kelly Mott

Let’s Practice Shading Equivalent Fractions! 1/2 1/3 1/4 1/6 1/8 Copyright © 2012 Kelly Mott

Practice 1: Shade Equivalent Fractions 2 3 = = 2 4 6 Copyright © 2012 Kelly Mott

Practice 2: Shade Equivalent Fractions 1 4 5 = = 2 8 10 Copyright © 2012 Kelly Mott

Practice 3: Shade Equivalent Fractions 1 4 = 2 8 Copyright © 2012 Kelly Mott

Practice 4: Shade Equivalent Fractions 3 6 = 4 8 Copyright © 2012 Kelly Mott

Practice 5: Shade Equivalent Fractions 2 4 = 3 6 Copyright © 2012 Kelly Mott

Equivalent Fractions with a Fraction Array Copyright © 2012 Kelly Mott

Equivalent Fractions Copyright © 2012 Kelly Mott

Write 8 equivalent fractions for 1 whole: ___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

Write 4 equivalent fractions for 1/2 : ___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

Write 2 equivalent fractions for 1/3: ___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

Write 2 equivalent fractions for 4/6: ___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

Write 1 equivalent fraction for 1/4: ___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

Write 1 equivalent fraction for 3/4: ___________________________________ 1/2 1/3 1/4 1/5 1/6 1/8 1/9 1/10 Copyright © 2012 Kelly Mott

Copyright © 2012 Kelly Mott

Equivalent Fractions using Multiplication Copyright © 2012 Kelly Mott

= 1 2 Equivalent Fractions x x You can multiply to get equal fractions. To get equal fractions, multiply the numerator and denominator by the same number. 1 x = 2 x Copyright © 2012 Kelly Mott

Lesson 5.3 Equivalent Fractions k j 1 1 x x = = 3 4 x x Copyright © 2012 Kelly Mott

Equivalent Fractions using Multiplication Let’s Practice a few! Copyright © 2012 Kelly Mott Copyright © 2012 Kelly Mott

Practice 1: Find Equivalent Fractions x 3 2 1 x x = = 2 3 4 x x 2 4 1 x x = = 5 2 3 x x Copyright © 2012 Kelly Mott

Practice 2: Find Equivalent Fractions x 2 2 1 x x = = 2 6 4 x x 1 4 4 x x = = 5 2 3 x x Copyright © 2012 Kelly Mott

Practice 3: Find Equivalent Fractions x 3 3 1 x x = = 8 5 4 x x 2 5 2 x x = = 5 7 6 x x Copyright © 2012 Kelly Mott

Equivalent Fractions using Multiplication Part 2 Copyright © 2012 Kelly Mott

= 1 ? 3 6 Equivalent Fractions Sometimes you’ll have problems like the one below. 1 ? = 3 6 Copyright © 2012 Kelly Mott

Equivalent Fractions k j 1 = 4 8 2 = 5 10 Copyright © 2012 Kelly Mott

Equivalent Fractions using Multiplication Let’s Practice a few! Copyright © 2012 Kelly Mott

Practice 1: Find Equivalent Fractions k j 2 = 12 4 2 = 3 6 Copyright © 2012 Kelly Mott

Practice 2: Find Equivalent Fractions k j 3 = 8 4 1 = 3 12 Copyright © 2012 Kelly Mott

Practice 3: Find Equivalent Fractions k j 2 = 12 6 2 = 3 9 Copyright © 2012 Kelly Mott

Practice 4: Find Equivalent Fractions k j 1 = 15 5 2 = 16 4 Copyright © 2012 Kelly Mott

Practice 5: Find Equivalent Fractions k j 3 = 25 5 4 = 6 12 Copyright © 2012 Kelly Mott

Practice 6: Find Equivalent Fractions k j 1 = 18 2 2 = 3 9 Copyright © 2012 Kelly Mott

Equivalent Fractions using Division Copyright © 2012 Kelly Mott

Reducing Fractions Copyright © 2012 Kelly Mott

8 ÷ = ÷ 12 8 ÷ = ÷ 12 Equivalent Fractions You can divide to get equal fractions. To get equal fractions, divide the numerator and denominator by a common factor. 8 ÷ = ÷ 12 8 ÷ = ÷ 12 Copyright © 2012 Kelly Mott

Equivalent Fractions using Division Let’s Practice a few! Copyright © 2012 Kelly Mott

Find 2 Equivalent Fractions for 4/12: k j 4 ÷ = ÷ 12 4 ÷ = 12 ÷ Copyright © 2012 Kelly Mott

Find 3 Equivalent Fractions for 6/12: k j 6 ÷ = ÷ 12 6 ÷ = 12 ÷ Copyright © 2012 Kelly Mott

Find 3 Equivalent Fractions for 6/12: k j 6 ÷ = ÷ 12 Copyright © 2012 Kelly Mott

Find 3 Equivalent Fractions for 12/18: k j 12 ÷ = ÷ 18 12 ÷ = 18 ÷ Copyright © 2012 Kelly Mott

Find 3 Equivalent Fractions for 12/18: k j 12 ÷ = ÷ 18 Copyright © 2009 Kelly Mott

Copyright © 2012 Kelly Mott

Fractions in Simplest Form Copyright © 2012 Kelly Mott

Fractions in Simplest Form Copyright © 2012 Kelly Mott

Fractions in Simplest Form A fraction in simplest form can not be divided any further. To get a number in simplest form, you have to divide by the greatest common factor. 8 ÷ = ÷ 12 Copyright © 2012 Kelly Mott

Fractions in Simplest Form Let’s Practice a few! Copyright © 2012 Kelly Mott

PRACTICE 1: To get a number in simplest form, you have to divide by the greatest common factor. k j 4 ÷ = ÷ 6 6 ÷ = 8 ÷ Copyright © 2012 Kelly Mott

PRACTICE 2: To get a number in simplest form, you have to divide by the greatest common factor. k j 9 ÷ = 12 ÷ 6 ÷ = 10 ÷ Copyright © 2012 Kelly Mott

PRACTICE 3: To get a number in simplest form, you have to divide by the greatest common factor. k j 7 ÷ = 14 ÷ 8 ÷ = 10 ÷ Copyright © 2012 Kelly Mott

PRACTICE 4: To get a number in simplest form, you have to divide by the greatest common factor. k j 2 ÷ = ÷ 12 5 ÷ = 10 ÷ Copyright © 2012 Kelly Mott

PRACTICE 5: To get a number in simplest form, you have to divide by the greatest common factor. k j 12 ÷ = ÷ 16 4 ÷ = 12 ÷ Copyright © 2012 Kelly Mott

PRACTICE 6: To get a number in simplest form, you have to divide by the greatest common factor. k j 6 ÷ = ÷ 12 10 ÷ = 25 ÷ Copyright © 2012 Kelly Mott

PRACTICE 7: To get a number in simplest form, you have to divide by the greatest common factor. k j 6 ÷ = ÷ 24 15 ÷ = 25 ÷ Copyright © 2012 Kelly Mott

PRACTICE 8: To get a number in simplest form, you have to divide by the greatest common factor. k j 9 ÷ = ÷ 18 10 ÷ = 30 ÷ Copyright © 2012 Kelly Mott

Copyright © 2012 Kelly Mott