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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 23 Page 47

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

4/7

Practice makes perfect

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

3 67 ÷ 6 34

a bc=a* c+b/c

3 * 7+6/7 ÷ 6 * 4+3/4

Multiply

21+6/7 ÷ 24+3/4

Add terms

27/7 ÷ 27/4

Now, dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 27/7 ÷ 27/4 = 27/7 * 4/27 When multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.

27/7 * 4/27

Multiply fractions

27 * 4/7 * 27

Multiply

108/189

a/b=.a /27./.b /27.

108/27/189/27

Calculate quotient

4/7

Subchapter links

Do You Understand? p.46

Do You Know How? p.46

Assessment Practice p.48