Exercise 3 Page 328

Rewrite the mixed numbers as improper fractions. Then divide the fractions.

2 13

Practice makes perfect

Let's find the quotient for the given division. 6 23 ÷ 2 67 We will start by rewriting the mixed numbers as improper fractions.

6 23 ÷ 2 67

MixedToFrac

a bc=a* c+b/c

6*3 + 2/3 ÷ 2* 7 + 6/7

Multiply

18+2/3 ÷ 14+6/7

AddTerms

Add terms

20/3 ÷ 20/7

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 20/3 ÷ 20/6=20/3 * 7/20 Next, we multiply the numerators and the denominators.

20/3 * 7/20

MultFrac

Multiply fractions

140/60

ReduceFrac

a/b=.a /20./.b /20.

7/3

Finally, we write the fraction as a mixed number.

7/3

▼

Write fraction as a mixed number

WriteSum

Write as a sum

6+1/3

WriteSumFrac

Write as a sum of fractions

6/3+1/3

CalcQuot

Calculate quotient

2+1/3

AddTerms

Add terms

2 13

Now, let's check our answer. To do so, we will multiply the quotient, 2 13, by the divisor, 2 67.

2 13 * 2 67

▼

Write mixed number as a fraction

MixedToFrac

a bc=a* c+b/c

2* 3 + 1/3 * 2 * 7 + 6/7

Multiply

6+ 1/3* 14 + 6/7

AddTerms

Add terms

7/3 * 20/7

MultFrac

Multiply fractions

140/21

ReduceFrac

a/b=.a /7./.b /7.

20/3

FracToMixed

Write fraction as a mixed number

6 23

As we can see, the result is the dividend. So, we know that our answer is correct.

Subchapter links

Guided Practice p.328

Independent Practice p.329-330

H.O.T. Problems p.330

Standardized Test Practice p.330-332

Extra Practice p.331

Common Core Review p.332

Exercise 3 Page 328

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