1.7E: Exercises
- Last updated
- Dec 26, 2022
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- 121045
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Practice Makes Perfect
Add and Subtract Fractions with a Common Denominator
In the following exercises, add.
Exercise 1.7E.1
613+513
- Answer
-
1113
Exercise 1.7E.2
415+715
Exercise 1.7E.3
x4+34
- Answer
-
x+34
Exercise 1.7E.4
8q+6q
Exercise 1.7E.5
−316+(−716)
- Answer
-
−58
Exercise 1.7E.6
−516+(−916)
Exercise 1.7E.7
−817+1517
- Answer
-
717
Exercise 1.7E.8
−919+1719
Exercise 1.7E.9
613+(−1013)+(−1213)
- Answer
-
−1613
Exercise 1.7E.10
512+(−712)+(−1112)
In the following exercises, subtract.
Exercise 1.7E.11
1115−715
- Answer
-
415
Exercise 1.7E.12
913−413
Exercise 1.7E.13
1112−512
- Answer
-
12
Exercise 1.7E.14
712−512
Exercise 1.7E.15
1921−421
- Answer
-
57
Exercise 1.7E.16
1721−821
Exercise 1.7E.17
5y8−78
- Answer
-
5y−78
Exercise 1.7E.18
11z13−813
Exercise 1.7E.19
−23u−15u
- Answer
-
−38u
Exercise 1.7E.20
−29v−26v
Exercise 1.7E.21
−35−(−45)
- Answer
-
15
Exercise 1.7E.22
−37−(−57)
Exercise 1.7E.23
−79−(−59)
- Answer
-
−29
Exercise 1.7E.24
−811−(−511)
Mixed Practice
In the following exercises, simplify.
Exercise 1.7E.25
−518·910
- Answer
-
−14
Exercise 1.7E.26
−314·712
Exercise 1.7E.27
n5−45
- Answer
-
n−45
Exercise 1.7E.28
611−s11
Exercise 1.7E.29
−724+224
- Answer
-
−frac524
Exercise 1.7E.30
−518+118
Exercise 1.7E.31
815÷125
- Answer
-
29
Exercise 1.7E.32
712÷928
Add or Subtract Fractions with Different Denominators
In the following exercises, add or subtract.
Exercise 1.7E.33
12+17
- Answer
-
914
Exercise 1.7E.34
13+18
Exercise 1.7E.35
13−(−19)
- Answer
-
49
Exercise 1.7E.36
14−(−18)
Exercise 1.7E.37
712+512
- Answer
-
2924
Exercise 1.7E.38
512+38
Exercise 1.7E.39
712−916
- Answer
-
148
Exercise 1.7E.40
716−512
Exercise 1.7E.41
23−38
- Answer
-
724
Exercise 1.7E.42
56−34
Exercise 1.7E.43
−1130+2740
- Answer
-
37120
Exercise 1.7E.44
−920+1730
Exercise 1.7E.45
−1330+2542
- Answer
-
17105
Exercise 1.7E.46
−2330+548
Exercise 1.7E.47
−3956−2235
- Answer
-
−5340
Exercise 1.7E.48
−3349−1835
Exercise 1.7E.49
−23−(−34)
- Answer
-
112
Exercise 1.7E.50
−34−(−45)
Exercise 1.7E.51
1+78
- Answer
-
158
Exercise 1.7E.52
1−310
Exercise 1.7E.53
x3+14
- Answer
-
4x+312
Exercise 1.7E.54
y2+23
Exercise 1.7E.55
y4−35
- Answer
-
5y−1220
Exercise 1.7E.56
x5−14
Mixed Practice
In the following exercises, simplify.
Exercise 1.7E.57
- 23+16
- 23÷16
- Answer
-
- 56
- 4
Exercise 1.7E.58
- −25−18
- −25⋅18
Exercise 1.7E.59
- 5n6÷815
- 5n6−815
- Answer
-
- 25n16
- 25n−1630
Exercise 1.7E.60
- 3a8÷712
- 3a8−712
Exercise 1.7E.61
−38÷(−310)
- Answer
-
54
Exercise 1.7E.62
−512÷(−59)
Exercise 1.7E.63
−38+512
- Answer
-
124
Exercise 1.7E.64
−18+712
Exercise 1.7E.65
56−19
- Answer
-
1318
Exercise 1.7E.66
59−16
Exercise 1.7E.67
−715−y4
- Answer
-
−28−15y60
Exercise 1.7E.68
−38−x11
Exercise 1.7E.69
1112a⋅9a16
- Answer
-
3364
Exercise 1.7E.70
10y13⋅815y
Use the Order of Operations to Simplify Complex Fractions
In the following exercises, simplify.
Exercise 1.7E.71
23+42(23)2
- Answer
-
54
Exercise 1.7E.72
33−32(34)2
Exercise 1.7E.73
(35)2(37)2
- Answer
-
4925
Exercise 1.7E.74
(34)2(58)2
Exercise 1.7E.75
213+15
- Answer
-
154
Exercise 1.7E.76
514+13
Exercise 1.7E.77
78−2312+38
- Answer
-
521
Exercise 1.7E.78
34−3514+25
Exercise 1.7E.79
12+23⋅512
- Answer
-
79
Exercise 1.7E.80
13+25⋅34
Exercise 1.7E.81
1−35÷110
- Answer
-
−5
Exercise 1.7E.82
1−56÷112
Exercise 1.7E.83
23+16+34
- Answer
-
1912
Exercise 1.7E.84
23+14+35
Exercise 1.7E.85
38−16+34
- Answer
-
2324
Exercise 1.7E.86
25+58−34
Exercise 1.7E.87
12(920−415)
- Answer
-
115
Exercise 1.7E.88
8(1516−56)
Exercise 1.7E.89
58+161924
- Answer
-
1
Exercise 1.7E.90
16+3101430
Exercise 1.7E.91
(59+16)÷(23−12)
- Answer
-
133
Exercise 1.7E.92
(34+16)÷(58−13)
Evaluate Variable Expressions with Fractions
In the following exercises, evaluate.
Exercise 1.7E.93
x+(−56) when
- x=13
- x=−16
- Answer
-
- −12
- −1
Exercise 1.7E.94
x+(−1112) when
- x=1112
- x=−34
Exercise 1.7E.95
x−25 when
- x=35
- x=−35
- Answer
-
- 15
- −1
Exercise 1.7E.96
x−13 when
- x=23
- x=−23
Exercise 1.7E.97
710−w when
- w=12
- w=−12
- Answer
-
- 15
- 65
Exercise 1.7E.98
512−w when
- w=14
- w=−14
Exercise 1.7E.99
2x2y3 when x=−23 and y=−12
- Answer
- −19
Exercise 1.7E.100
8u2v3 when u=−34 and v=−12
Exercise 1.7E.101
a+ba−b when a=−3,b=8
- Answer
- −511
Exercise 1.7E.102
r−sr+s when r=10,s=−5
Everyday Math
Exercise 1.7E.103
Decorating Laronda is making covers for the throw pillows on her sofa. For each pillow cover, she needs 12 yard of print fabric and \frac{3}{8}\) yard of solid fabric. What is the total amount of fabric Laronda needs for each pillow cover?
- Answer
-
78 yard
Exercise 1.7E.104
Baking Vanessa is baking chocolate chip cookies and oatmeal cookies. She needs 12 cup of sugar for the chocolate chip cookies and 14 of sugar for the oatmeal cookies. How much sugar does she need altogether?
Writing Exercises
Exercise 1.7E.105
Why do you need a common denominator to add or subtract fractions? Explain.
- Answer
-
Answers may vary
Exercise 1.7E.106
How do you find the LCD of 2 fractions?
Self Check
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
ⓑ After looking at the checklist, do you think you are well-prepared for the next chapter? Why or why not?