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Envision Math 2.0: Grade 6, Volume 1

EM

Envision Math 2.0: Grade 6, Volume 1 View details

6. Divide Mixed Numbers

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Exercise 24 Page 47

Rewrite the expression so that all of the numbers are fractions.

7/4

Practice makes perfect

Before we evaluate the expression, let's first rewrite it so that all of the numbers are fractions.

2 13 ÷ 1 13

a bc=a* c+b/c

2 * 3+1/3 ÷ 1 * 3+1/3

Multiply

6+1/3 ÷ 1 * 3+1/3

Identity Property of Multiplication

6+1/3 ÷ 3+1/3

Add terms

7/3 ÷ 4/3

Now, dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 7/3 ÷ 4/3 = 7/3 * 3/4 When multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.

7/3 * 3/4

Multiply fractions

7 * 3/3 * 4

Multiply

21/12

a/b=.a /3./.b /3.

21/3/12/3

Calculate quotient

7/4

Subchapter links

Do You Understand? p.46

Do You Know How? p.46

Assessment Practice p.48