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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 7 Page 46

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

54/11 or 4 1011

Practice makes perfect

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

18 ÷ 3 23

Write as a fraction

18/1 ÷ 3 23

a bc=a* c+b/c

18/1 ÷ 3 * 3+2/3

Multiply

18/1 ÷ 9+2/3

Add terms

18/1 ÷ 11/3

Now, dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 18/1÷11/3=18/1*3/11 When multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.

18/1 * 3/11

Multiply fractions

18 * 3/1 * 11

Multiply

54/1 * 11

Identity Property of Multiplication

54/11

We can also rewrite our result as a mixed number.

54/11

Rewrite 54 as 44+10

44+10/11

Write as a sum of fractions

44/11+10/11

Calculate quotient

4+10/11

Add terms

4 1011

Subchapter links

Do You Understand? p.46

Do You Know How? p.46

Assessment Practice p.48