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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 16 Page 47

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

1/3

Practice makes perfect

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

1 38 ÷ 4 18

a bc=a* c+b/c

1 * 8+3/8 ÷ 4 * 8+1/8

Identity Property of Multiplication

8+3/8 ÷ 4 * 8+1/8

Multiply

8+3/8 ÷ 32+1/8

Add terms

11/8 ÷ 33/8

The quotient of 1 38 and 4 18 is the same as the quotient of 118 and 338. 1 38 ÷ 4 18 &= 11/8 ÷ 33/8 &= 11/8 * &= Now, dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 1 38 ÷ 4 18 &= 11/8 ÷ 33/8 &= 11/8 * 8/33 &= When multiplying fractions, remember that the product of two fractions is equal to the product of the numerators over the product of the denominators.

11/8 * 8/33

Multiply fractions

11 * 8/8 * 33

Multiply

88/264

a/b=.a /88./.b /88.

88/88/264/88

a/a=1

1/264/88

Calculate quotient

1/3

The quotient is 13. 1 38 ÷ 4 18 &= 11/8 ÷ 33/8 &= 11/8 * 8/33 &=1/3

Subchapter links

Do You Understand? p.46

Do You Know How? p.46

Assessment Practice p.48