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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 15 Page 47

Rewrite the mixed numbers as fractions. Then multiply the first fraction by the reciprocal of the second fraction.

14/9 or 1 59

Practice makes perfect

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

9 13 ÷ 6

a bc=a* c+b/c

9 * 3+1/3 ÷ 6

Identity Property of Multiplication

27+1/3 ÷ 6

Add terms

28/3 ÷ 6

Write as a fraction

28/3 ÷ 6/1

The quotient of 9 13 and 6 is the same as the quotient of 283 and 61. 9 13 ÷ 6 &= 28/3 ÷ 6/1 &= 28/3 * &= Now, dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 9 13 ÷ 6 &= 28/3 ÷ 6/1 &= 28/3 * 1/6 &= When multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.

28/3 * 1/6

Multiply fractions

28 * 1/3 * 6

Identity Property of Multiplication

28/3 * 6

Multiply

28/18

a/b=.a /2./.b /2.

28/2/18/2

Calculate quotient

14/9

Finally, we can write the fraction as a mixed number.

14/9

Write as a sum

9+5/9

Write as a sum of fractions

9/9+5/9

a/a=1

1+5/9

Add terms

1 59

The quotient is 149 or 1 59. 9 13 ÷ 6 &= 28/3 ÷ 6/1 &= 28/3 * 1/6 &=14/9or 1 59

Subchapter links

Do You Understand? p.46

Do You Know How? p.46

Assessment Practice p.48