40
Section 1.4 Exercises Part A
Find 4 different names for each fraction:
Example:
1.
2.
3
7
3.
2
3
4.
7
11
4
9
Simplify each fraction.
5.
36
52
6.
27
36
7.
16
56
8.
10
12
9.
15
45
10.
120
280
13.
10
12
Create each fraction with a denominator of 36.
5
11. 16
12.
9
Add or Subtract. Simplify.
Common denominator
Example:
Example:
-
Borrow from the 13.
-
-
-
Swap to subtract.
Answer is negative
14.
2
5
+ 23 =
15.
17.
1
3
+ 127 =
18.
1
4
+ 85 =
13 34 + 4 56 =
16.
7
30
19.
9 107 − 3 15 =
− 253 =
Assignment 1.4a
41
20.
21.
3 149 − 6 76 =
Fill out the table.
Mixed
23.
− 7 89
24.
22.
4 72 + 9 23 =
12 85 − 9 34 =
Improper
3 15
25.
43
8
26.
51
4
Find the multiplicative inverse or reciprocal of each number.
Example:
27.
4
7
28.
2
9
29.
- 107
30.
7
8
31.
- 56
32.
13
33.
13
42
34.
7
3
Divide.
Example:
Multiply by reciprocal
Change to improper fraction
or
Multiply straight across.
35.
2
5
÷ 13 =
36.
1
4
÷ 83 =
37.
5
6
38.
3
8
÷ 127 =
39.
2 34 ÷ 7 16 =
40.
5 75 ÷ 3 23 =
41.
7 54 ÷ 109 =
42.
7
8
÷ 9 23 =
43.
2 16 ÷ 83 =
÷ 83 =
Preparation.
44. If you drive 280 miles on 12 gallons of gas, how many miles per gallon do you get?
45. If you drive 280 miles on 12 gallons of gas, and gas is $3.20 per gallon, how many miles
per dollar do you get?
Assignment 1.4a
42
Answers:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
, , , , others...
6 9 12 21
14 21 28 49
, , , , others...
4 6 10 12
6 9 15 18
14
22
21 28 35
, 33
, 44 , 55 , others...
, , , , others...
8 12 16 28
18 27 36 63
9
13
3
4
2
7
5
6
1
3
3
7
6
36
20
36
30
36
1 151 or 16
15
7
8
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
− 65 or − 1 15
41.
42.
43.
44.
45.
26
3
1
13
or 3 133
42
13
3
7
6
5
or 1 15
2
3
20
9
or 2 92
9
14
33
86
120
77
43
or 1 77
or 8 23
21
232
52
9
or 5 97
23 13 or 23.3 (Repeating)
7 247 or 7.29
17
150
11
12
18 127
6 12
− 3 143
13 20
21
2 78
− 719
16
5
5 83
!
12 !
7
4
or 1 34
9
2
or 4 12
− 107 or − 1 73
8
7
Assignment 1.4a