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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 20 Page 47

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

23/59

Practice makes perfect

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

3 56 ÷ 9 56

a bc=a* c+b/c

3 * 6+5/6 ÷ 9 * 6+5/6

Multiply

18+5/6 ÷ 54+5/6

Add terms

23/6 ÷ 59/6

Now, dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 23/6 ÷ 59/6 = 23/6 * 6/59 When multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.

23/6 * 6/59

Multiply fractions

23 * 6/6 * 59

Multiply

138/354

a/b=.a /6./.b /6.

138/6/354/6

Calculate quotient

23/59

Subchapter links

Do You Understand? p.46

Do You Know How? p.46

Assessment Practice p.48