Exercise 2 Page 329

Rewrite the mixed number as an improper fraction. Then divide the fractions.

8 23

Practice makes perfect

Let's find the quotient for the given division. 6 12 ÷ 3/4 We will start by rewriting the mixed number as an improper fraction.

6 12 ÷ 3/4

MixedToFrac

a bc=a* c+b/c

6*2 + 1/2 ÷ 3/4

Multiply

12+1/2 ÷ 3/4

AddTerms

Add terms

13/2 ÷ 3/4

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 13/2 ÷ 3/4 = 13/2* 4/3 Next, we multiply the numerators and the denominators.

13/2* 4/3

MultFrac

Multiply fractions

52/6

ReduceFrac

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

26/3

FracToMixed

Write fraction as a mixed number

8 23

Now, let's check our answer. To do so, we will multiply the quotient, 8 23, by the divisor, 34.

8 23 * 3/4

▼

Write mixed number as a fraction

MixedToFrac

a bc=a* c+b/c

8*3+2/3 * 3/4

Multiply

24+2/3 * 3/4

AddTerms

Add terms

26/3 * 3/4

MultFrac

Multiply fractions

78/12

ReduceFrac

a/b=.a /6./.b /6.

13/2

FracToMixed

Write fraction as a mixed number

6 12

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

Hints

Check the answer

Practice exercises

Asses your skill