Exercise 2 Page 328

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

2 27

Practice makes perfect

Let's find the quotient for the given division. 2 23 ÷ 1 16 We will start by rewriting the mixed numbers as improper fractions.

2 23 ÷ 1 16

MixedToFrac

a bc=a* c+b/c

2*3 + 2/3 ÷ 1* 6 + 1/6

Multiply

6+2/3 ÷ 6+1/6

AddTerms

Add terms

8/3 ÷ 7/6

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 8/3 ÷ 7/6=8/3 * 6/7 Next, we multiply the numerators and the denominators.

8/3 * 6/7

MultFrac

Multiply fractions

48/21

ReduceFrac

a/b=.a /3./.b /3.

16/7

Finally, we write the fraction as a mixed number.

16/7

▼

Write fraction as a mixed number

WriteSum

Write as a sum

14+2/7

WriteSumFrac

Write as a sum of fractions

14/7+2/7

CalcQuot

Calculate quotient

2+2/7

AddTerms

Add terms

2 27

Now, let's check our answer. To do so, we will multiply the quotient, 2 27, by the divisor, 1 16.

2 27 * 1 16

▼

Write mixed number as a fraction

MixedToFrac

a bc=a* c+b/c

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

Multiply

14+2/7 * 6+1/6

AddTerms

Add terms

16/7 * 7/6

MultFrac

Multiply fractions

16*7/7 *6

ReduceFrac

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

16*1/1 *6

ReduceFrac

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

8*1/1 *3

Multiply

8/3

FracToMixed

Write fraction as a mixed number

2 23

As we can see, the result is the dividend. So, we know 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 2 Page 328

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