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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 10 Page 46

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

164/75 or 2 1475

Practice makes perfect

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

8 15 ÷ 3 34

a bc=a* c+b/c

8 * 5+1/5 ÷ 3 * 4+3/4

Multiply

40+1/5 ÷ 12+3/4

Add terms

41/5 ÷ 15/4

Now, dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 41/5 ÷ 15/4 = 41/5 * 4/15 When multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.

41/5 * 4/15

Multiply fractions

41 * 4/5 * 15

Multiply

164/75

We can also rewrite our result as a mixed number.

164/75

Rewrite 164 as 150+14

150+14/75

Write as a sum of fractions

150/75+14/75

Calculate quotient

2+14/75

Add terms

2 1475

Subchapter links

Do You Understand? p.46

Do You Know How? p.46

Assessment Practice p.48