Basic Mathematics for College Students

3.5 Multiplying and Dividing Mixed Numbers 265

1. , 2. 3. a. b. c. 17 d. 3 4.


2. a. 779 b. 36 c. 9 32 6. a. 1 95 b. 6 52 7. 26 1613 in.^2 8. 3 43 min

(^1) –
= (^24)
(^7) –
8
− 3 − 2
− 1 – –^239 – 4
− 10123
(^3) –
5
1
1 3
12
4 13
3
7
27
4 8
1
2
9
2
ANSWERS TO SELF CHECKS
StateEach city will receive million in grant money.
CheckWe can estimate to check the result. If there was $10 million in grant money,
each city would receive , or $2 million. Since there is actually million in
grant money, the answer that each city would receive $2 12 million seems reasonable.
$10 million 5 $12 12

$2 12

Fill in the blanks.

1. A number, such as , is the sum of a whole
   number and a proper fraction.


2. In the mixed number , the -number part is 8
   and the part is.


3. The numerator of an fraction is greater
   than or equal to its denominator.


4. To a number means to locate its position on
   the number line and highlight it using a dot.


5. What signed mixed number could be used to describe
   each situation?
   a. A temperature of five and one-third degrees
   above zero
   b. The depth of a sprinkler pipe that is six and seven-
   eighths inches below the sidewalk


6. What signed mixed number could be used to describe
   each situation?
   a. A rain total two and three-tenths of an inch lower
   than the average
   b. Three and one-half minutes after the liftoff of a
   rocket

Fill in the blanks.

7. To write a mixed number as an improper fraction:
   
   
   1. the denominator of the fraction by the
      whole-number part.
   
   
   2. the numerator of the fraction to the result
      from Step 1.
   
   
   3. Write the sum from Step 2 over the original
      .
   
   
   
   

CONCEPTS

4

5

8 45

8 45

VOCABULARY 8. To write an improper fraction as a mixed number:

1. the numerator by the denominator to
   obtain the whole-number part.


2. The over the divisor is the fractional
   part.


3. What fractions have been graphed on the number
   line?


4. What mixed numbers have been graphed on the
   number line?


5. Fill in the blank: To multiply or divide mixed numbers,
   first change the mixed numbers to fractions.
   Then perform the multiplication or division of the
   fractions as usual.


6. Simplify the fractional part of each mixed number.

a.

b.

c.

13. Use estimationto determine whether the following
    answer seems reasonable:


14. What is the formula for the
    a. area of a rectangle?

b. area of a triangle?

4

1

5

 2

5

7

 7

2

35

7

15

27

1

3

9

11

2

4

− 2 − 1 012

− 1 01

SECTION 3.5 STUDY SET