Lynn Marecek; MaryAnne Anthony-Smith

Try It

4.1

ⓐ $\frac{3}{8}$
ⓑ $\frac{4}{9}$

4.2

ⓐ $\frac{3}{5}$
ⓑ $\frac{3}{4}$

4.3

A circle is shown divided into 8 pieces, of which 6 are shaded.

4.4

A rectangle is divided into 5 sections, of which 2 are shaded.

4.5

A circle is shown. It is divided into 3 equal pieces. All 3 pieces are shaded.

4.6

A circle is divided into 8 sections, of which all are shaded.

4.7

Two circles are shown. Each is divided into three sections. All of the first circle is shaded. 2 out of 3 sections of the second circle are shaded.

4.8

Three circles are shown. Each is divided into two sections. The first two circles are completely shaded. Half of the third circle is shaded.

4.9

$\frac{5}{3} = 1 \frac{2}{3}$

4.10

$\frac{13}{8} = 1 \frac{5}{8}$

4.11

Two circles are shown. Each is divided into six sections. All of the first circle is shaded and one section of the second circle is shaded.

4.12

Two circles are shown. Each is divided into five sections. All of the first circle is shaded and one section of the second circle is shaded.

4.13

$1 \frac{2}{7}$

4.14

$1 \frac{3}{4}$

4.15

$\frac{11}{8}$

4.16

$\frac{11}{6}$

4.17

$1 \frac{6}{7} .$

4.18

$1 \frac{5}{9}$

4.19

$3 \frac{2}{7}$

4.20

$4 \frac{4}{11}$

4.21

$\frac{26}{7}$

4.22

$\frac{23}{8}$

4.23

$\frac{50}{11}$

4.24

$\frac{34}{3}$

4.25

2

4.26

3

4.27

Correct answers include $\frac{6}{10}, \frac{9}{15}, and \frac{12}{20} .$

4.28

Correct answers include $\frac{8}{10}, \frac{12}{15}, and \frac{16}{20} .$

4.29

$\frac{18}{21}$

4.30

$\frac{30}{100}$

4.31

A number line is shown. It shows the whole numbers 0 through 6. Between 0 and 1, 1 third is labeled and shown with a red dot. Between 1 and 2, 5 fourths and 7 fourths are labeled and shown with red dots. Between 2 and 3, 2 and 3 fifths is labeled and shown with a red dot. Between 4 and 5, 9 halves is labeled and shown with a red dot.

4.32

4.33

4.34

4.35

ⓐ >
ⓑ >
ⓒ <
ⓓ <

4.36

ⓐ >
ⓑ <
ⓒ >
ⓓ <

4.37

$\frac{2}{3}$

4.38

$\frac{3}{4}$

4.39

$- \frac{3}{4}$

4.40

$- \frac{2}{3}$

4.41

$- \frac{9}{7}$

4.42

$- \frac{9}{5}$

4.43

$\frac{23}{40}$

4.44

$\frac{5}{8}$

4.45

$\frac{x}{y}$

4.46

$\frac{a}{b}$

4.47

$\frac{3}{10}$

A rectangle is shown, divided vertically into five equal pieces. Three of the pieces are shaded.

A rectangle is shown, divided vertically into five equal pieces. Three of the pieces are shaded. The first three pieces of the rectangle are divided by a horizontal line, creating six equal pieces. Three of the six pieces are darkly shaded.

4.48

$\frac{5}{12}$

A rectangle is shown, divided vertically into six equal pieces. Five of the pieces are shaded.

A rectangle is shown, divided vertically into six equal pieces. Five of the pieces are shaded. The first five pieces of the rectangle are divided by a horizontal line, creating ten equal pieces. Five of the ten pieces are darkly shaded.

4.49

$\frac{2}{15}$

4.50

$\frac{21}{40}$

4.51

$\frac{5}{14}$

4.52

$\frac{14}{27}$

4.53

$- \frac{4}{21}$

4.54

$- \frac{3}{16}$

4.55

ⓐ 9
ⓑ −33a

4.56

ⓐ $24$
ⓑ $\frac{44 x}{3}$

4.57

ⓐ $\frac{7}{5}$
ⓑ $−8$
ⓒ $- \frac{4}{11}$
ⓓ $\frac{1}{14}$

4.58

ⓐ $\frac{7}{3}$
ⓑ $- 12$
ⓒ $- \frac{9}{14}$
ⓓ $\frac{1}{21}$

4.59

4.61

4.62

4.63

4.64

4.65

$- \frac{9}{14}$

4.66

$- \frac{10}{21}$

4.67

$\frac{21}{5 p}$

4.68

$\frac{15}{8 q}$

4.69

$\frac{4}{5}$

4.70

$\frac{5}{4}$

4.71

$\frac{4}{15}$

4.72

$\frac{2}{3}$

4.73

2

4.74

$\frac{9}{4}$

4.75

−15

4.76

$- \frac{85}{6}$

4.77

$\frac{5}{8}$

4.78

$\frac{7}{8}$

4.79

2

4.80

$\frac{5}{2}$

4.81

$\frac{9 s}{14}$

4.82

$\frac{5 y}{6}$

4.83

$\frac{a - b}{c d}$

4.84

$\frac{p + q}{r}$

4.85

$\frac{4}{5}$

4.86

$\frac{11}{14}$

4.87

$- \frac{2}{7}$

4.88

$- \frac{10}{3}$

4.89

$\frac{3}{4 b}$

4.90

$\frac{4}{q}$

4.91

$\frac{25}{49} .$

4.92

$\frac{1}{2}$

4.93

$- \frac{3}{5}, \frac{3}{−5}$

4.94

$\frac{−2}{7}, \frac{2}{−7}$

4.95

$\frac{10}{9}$

4.96

$\frac{1}{2}$

4.97

$\frac{−3}{4}$

4.98

$- \frac{2}{3}$

4.99

$\frac{2}{9}$

4.100

$\frac{8}{5}$

4.101

4

4.102

2

4.103

$\frac{5}{8}$

A circle divided into 8 sections, 5 of which are shaded.

4.104

$\frac{5}{6}$

A circle divided into 6 sections, 5 of which are shaded.

4.105

$\frac{5}{6}$

4.106

1

4.107

$\frac{x + 3}{4}$

4.108

$\frac{y + 5}{8}$

4.109

$\frac{1}{d}$

4.110

$\frac{3}{m}$

4.111

$\frac{9 p}{8}$

4.112

$\frac{9 q}{5}$

4.113

$- \frac{2}{3}$

4.114

$- \frac{2}{3}$

4.115

$\frac{3}{8}$ , models may differ.

4.116

$\frac{1}{6}$ , models may differ

4.117

$\frac{3}{7}$

4.118

$\frac{1}{2}$

4.119

$\frac{x - 2}{7}$

4.120

$\frac{y - 13}{14}$

4.121

$- \frac{16}{x}$

4.122

$- \frac{22}{a}$

4.123

−1

4.124

$- \frac{2}{3}$

4.125

60

4.126

15

4.127

96

4.128

224

4.129

$\frac{9}{12}, \frac{10}{12}$

4.130

$- \frac{35}{60}, \frac{44}{60}$

4.131

$\frac{52}{96}, \frac{51}{96}$

4.132

$\frac{72}{224}, \frac{189}{224}$

4.133

$\frac{7}{12}$

4.134

$\frac{7}{10}$

4.135

$\frac{5}{8}$

4.136

$\frac{1}{2}$

4.137

$\frac{79}{60}$

4.138

$\frac{103}{60}$

4.139

$\frac{1}{96}$

4.140

$\frac{75}{224}$

4.141

$\frac{37}{210}$

4.142

$- \frac{25}{96}$

4.143

$\frac{3 y + 14}{18}$

4.144

$\frac{5 x + 14}{30}$

4.145

ⓐ $- \frac{11}{12}$
ⓑ $- \frac{1}{8}$

4.146

ⓐ $- \frac{10}{3}$
ⓑ $\frac{13}{12}$

4.147

ⓐ $\frac{27}{a}$
ⓑ $\frac{2}{a}$

4.148

ⓐ $\frac{24}{k}$
ⓑ $\frac{24}{k}$

4.149

$\frac{1}{90}$

4.150

272

4.151

2

4.152

$\frac{2}{7}$

4.153

ⓐ $−1$
ⓑ $- \frac{1}{2}$

4.154

ⓐ $\frac{7}{6}$
ⓑ $- \frac{1}{4}$

4.155

$- \frac{3}{4}$

4.156

$- \frac{23}{8}$

4.157

$- \frac{1}{2}$

4.158

$\frac{2}{3}$

4.159

$- \frac{5}{2}$

4.160

$\frac{3}{2}$

4.161

5

The figure shows five circles. The last one is divided into five equal sections.

4.162

5

The figure shows five circles. The last one is divided into six equal sections.

4.163

$4 \frac{2}{3}$

The figure shows five circles. The last two are divided into six equal sections. Two sections of the last circle are white.

4.164

$3 \frac{1}{2}$

The figure shows four circles. The last two are divided into eight equal sections. Four sections of the last circle are white.

4.165

$5 \frac{6}{7}$

4.166

$7 \frac{9}{11}$

4.167

$16 \frac{1}{2}$

4.168

$15 \frac{1}{3}$

4.169

$9 \frac{1}{3}$

4.170

$6 \frac{3}{5}$

4.171

$\frac{3}{4}$

4.172

$\frac{4}{5}$

4.173

$\frac{9}{5}$

4.174

$\frac{5}{3}$

4.175

$\frac{2}{3}$

4.176

$\frac{3}{4}$

4.177

A circle divided into three sections, two of which are shaded.

4.178

A circle divided into 5 sections, 2 of which are shaded.

4.179

$2 \frac{2}{3}$

4.180

$1 \frac{5}{7}$

4.181

$2 \frac{2}{3}$

4.182

$1 \frac{5}{7}$

4.183

$6 \frac{7}{12}$

4.184

$12 \frac{3}{10}$

4.185

$4 \frac{7}{10}$

4.186

$2 \frac{11}{12}$

4.187

$- \frac{41}{8}$

4.188

$- \frac{757}{63}$

4.189

ⓐ no
ⓑ yes
ⓒ no

4.190

ⓐ no
ⓑ no
ⓒ yes

4.191

$- \frac{1}{2}$

4.192

$- \frac{4}{15}$

4.193

−1

4.194

$- \frac{6}{7}$

4.195

$- \frac{19}{3}$

4.196

$\frac{23}{2}$

4.197

−125

4.198

−243

4.199

245

4.200

132

4.201

−48

4.202

23

4.203

35

4.204

18

4.205

−91

4.206

−108

4.207

$\frac{n}{7} = −21; n = −147$

4.208

$\frac{n}{8} = −56; n = −448$

4.209

$\frac{q}{−8} = 72; q = −576$

4.210

$\frac{p}{−9} = 81; p = −729$

4.211

$\frac{2}{5} f = 16; f = 40$

4.212

$\frac{3}{4} f = 21; f = 28$

4.213

$\frac{n}{\frac{2}{3}} = \frac{5}{12}; n = \frac{5}{18}$

4.214

$\frac{c}{\frac{3}{8}} = \frac{4}{9}; c = \frac{1}{6}$

4.215

$\frac{5}{8} + x = \frac{1}{4}; x = - \frac{3}{8}$

4.216

$1 \frac{3}{4} - x = \frac{5}{6}; x = \frac{11}{12}$

Section 4.1 Exercises

1.

ⓐ $\frac{1}{4}$
ⓑ $\frac{3}{4}$
ⓒ $\frac{3}{8}$
ⓓ $\frac{5}{9}$

3.

A circle is shown. It is divided into 2 equal pieces. 1 piece is shaded.

5.

A circle is shown. It is divided into 4 equal pieces. 3 pieces are shaded.

7.

A circle is shown. It is divided into 6 equal pieces. 5 pieces are shaded.

9.

A circle is shown. It is divided into 8 equal pieces. 5 pieces are shaded.

11.

13.

Two circles are shown. Each is divided into 6 equal pieces. All 6 pieces are shaded in the circle on the left. 1 piece is shaded in the circle on the right.

15.

Two circles are shown. Each is divided into 5 equal pieces. All 5 pieces are shaded in the circle on the left. 2 pieces are shaded in the circle on the right.

17.

ⓐ $\frac{5}{4} = 1 \frac{1}{4}$
ⓑ $\frac{7}{4} = 1 \frac{3}{4}$
ⓒ $\frac{11}{8} = 1 \frac{3}{8}$

19.

ⓐ $\frac{11}{4} = 2 \frac{3}{4}$
ⓑ $\frac{19}{8} = 2 \frac{3}{8}$

21.

A circle is shown. It is divided into 4 equal pieces. All 4 pieces are shaded.

23.

Two circles are shown. Each is divided into 3 equal pieces. All 3 pieces are shaded in the circle on the left. 2 pieces are shaded in the circle on the right.

25.

Two circles are shown. Each is divided into 8 equal pieces. All 8 pieces are shaded in the circle on the left. 5 pieces are shaded in the circle on the right.

27.

Three circles are shown. Each is divided into 4 equal pieces. All 4 pieces are shaded in the two circles on the left. 1 piece is shaded in the circle on the right.

29.

$1 \frac{2}{3}$

31.

$2 \frac{3}{5}$

33.

$3 \frac{1}{9}$

35.

$3 \frac{2}{15}$

37.

$\frac{7}{5}$

39.

$\frac{17}{6}$

41.

$\frac{19}{7}$

43.

$\frac{32}{9}$

45.

4

47.

9

49.

9

51.

Answers may vary. Correct answers include $\frac{2}{6}, \frac{3}{9}, \frac{4}{12} .$

53.

Answers may vary. Correct answers include $\frac{10}{12}, \frac{15}{18}, \frac{20}{24} .$

55.

Answers may vary. Correct answers include $\frac{10}{18}, \frac{15}{27}, \frac{20}{36} .$

57.

59.

61.

63.

65.

<

67.

>

69.

<

71.

<

73.

ⓐ 8
ⓑ 4

75.

Answers will vary.

Section 4.2 Exercises

77.

$\frac{1}{3}$

79.

$\frac{3}{4}$

81.

$- \frac{5}{11}$

83.

$- \frac{12}{7}$

85.

$\frac{10}{21}$

87.

$- \frac{7}{8}$

89.

$\frac{x}{y}$

91.

$- \frac{x}{4 y}$

93.

$\frac{2 x^{2}}{3 y}$

95.

$\frac{1}{3}$

97.

$\frac{5}{18}$

99.

$\frac{2}{15}$

101.

$\frac{27}{40}$

103.

$\frac{1}{4}$

105.

$- \frac{1}{6}$

107.

$- \frac{2}{9}$

109.

$- \frac{21}{50}$

111.

$\frac{11}{30}$

113.

$\frac{20}{11}$

115.

9n

117.

7p

119.

−34

121.

$\frac{3}{8}$

123.

$\frac{8}{27}$

125.

$\frac{1296}{625}$

127.

$\frac{4}{3}$

129.

$- \frac{17}{5}$

131.

$\frac{8}{11}$

133.

$- \frac{1}{19}$

135.

1

137.

A table is shown with four columns and five rows. The first row reads Number, Opposite, Absolute Value, and Reciprocal. The second row reads negative three thirteenths, three thirteenths, three thirteenths, negative thirteen thirds. The third row reads nine fourteenths, negative nine fourteenths, nine fourteenths, and fourteen ninths. The fourth row reads fifteen sevenths, negative fifteen sevenths, fifteen sevenths, and seven fifteenths. The last row reads negative nine, nine, nine, negative one ninth.

139.

4

141.

12

143.

4

145.

$\frac{16}{15}$

147.

$- \frac{5}{4}$

149.

1

151.

$\frac{18}{5 y}$

153.

$\frac{25}{2 c}$

155.

$- \frac{3}{4}$

157.

$\frac{2}{9}$

159.

$\frac{14 r}{15 s}$

161.

−12

163.

$- \frac{1}{25}$

165.

9

167.

$\frac{8}{7}$

169.

ⓐ $4 \frac{2}{3} = \frac{8}{3} = 2 \frac{2}{3}$
ⓑ Answers will vary.

171.

$\frac{1}{8} yard$

173.

Answers will vary.

175.

Answers will vary.

Section 4.3 Exercises

177.

$\frac{44}{21}$

179.

$\frac{35}{8}$

181.

$- \frac{16}{3}$

183.

$- \frac{63}{16}$

185.

$\frac{3}{2}$

187.

$- \frac{4}{3}$

189.

2

191.

5

193.

$\frac{7 v}{13}$

195.

$\frac{a}{b}$

197.

$\frac{A}{3 - B}$

199.

$\frac{3}{2}$

201.

$- \frac{15}{22}$

203.

$- \frac{3}{10}$

205.

$\frac{1}{6}$

207.

$\frac{3 r}{5 s}$

209.

$\frac{9}{2 y}$

211.

28

213.

$- \frac{1}{18}$

215.

$\frac{−4}{9}, - \frac{4}{9}$

217.

$\frac{13}{−6}, \frac{−13}{6}$

219.

$\frac{12}{7}$

221.

$\frac{5}{2}$

223.

$\frac{23}{4}$

225.

$- \frac{1}{3}$

227.

$\frac{4}{5}$

229.

$- \frac{1}{2}$

231.

2

233.

$\frac{5}{6}$

235.

$\frac{26}{25}$

237.

$\frac{11}{6}$

239.

$\frac{5}{2}$

241.

−10

243.

−2

245.

$\frac{51}{20}$

247.

$\frac{18}{7}$

249.

ⓐ $\frac{4}{3} = 1 \frac{1}{3} cups$
ⓑ $\frac{80}{3} = 26 \frac{2}{3} cups$

251.

Answers will vary.

253.

Answers will vary.

Section 4.4 Exercises

255.

A circle is divided into 10 equal pieces. 7 of the pieces are shaded.

$\frac{7}{10}$

257.

A circle is divided into 8 equal pieces. 6 of the pieces are shaded.

$\frac{3}{4}$

259.

$\frac{7}{9}$

261.

$\frac{16}{15}$

263.

$\frac{y + 2}{3}$

265.

$\frac{14}{q}$

267.

$\frac{9 a}{7}$

269.

$\frac{−4 x}{5}$

271.

$- \frac{3}{4}$

273.

$- \frac{7}{8}$

275.

$\frac{8}{19}$

277.

$- \frac{13}{12}$

279.

A circle is divided into eight sections, three of which are shaded.

$\frac{1}{2}$

281.

$\frac{1}{5}$

283.

$\frac{5}{13}$

285.

$\frac{1}{6}$

287.

$- \frac{8}{3}$

289.

$\frac{x - 8}{19}$

291.

$\frac{11 z - 8}{13}$

293.

$- \frac{14}{c}$

295.

$- \frac{55}{v}$

297.

$\frac{3 d}{11}$

299.

$- \frac{14 s}{3}$

301.

$\frac{2}{7}$

303.

$- \frac{3}{11}$

305.

$- \frac{1}{8}$

307.

$\frac{6 - s}{11}$

309.

$- \frac{2}{9}$

311.

$\frac{49}{27}$

313.

$\frac{1}{4} cup$

315.

Answers will vary.

Section 4.5 Exercises

317.

20

319.

48

321.

240

323.

245

325.

60

327.

$\frac{5}{20}, \frac{4}{20}$

329.

$\frac{14}{24}, \frac{15}{24}$

331.

$\frac{33}{48}, - \frac{20}{48}$

333.

$\frac{20}{60}, \frac{45}{60}, \frac{36}{60}$

335.

$\frac{9}{20}$

337.

$\frac{11}{24}$

339.

$\frac{3}{8}$

341.

$\frac{2}{3}$

343.

$\frac{23}{20}$

345.

$\frac{19}{24}$

347.

$\frac{1}{48}$

349.

$\frac{1}{24}$

351.

$\frac{1}{12}$

353.

$\frac{7}{60}$

355.

$- \frac{53}{80}$

357.

$- \frac{291}{245}$

359.

$\frac{1}{20}$

361.

$\frac{11}{40}$

363.

$\frac{11}{6}$

365.

$\frac{7}{10}$

367.

$\frac{3 y + 4}{6}$

369.

$\frac{4 x - 5}{20}$

371.

ⓐ $\frac{5}{6}$
ⓑ $4$

373.

ⓐ $- \frac{37}{40}$
ⓑ $- \frac{1}{10}$

375.

ⓐ $\frac{9 a}{14}$
ⓑ $\frac{9 a - 14}{24}$

377.

ⓐ $- \frac{4}{3 q}$
ⓑ $\frac{12 - 25 q}{45}$

381.

$\frac{11}{24}$

383.

$\frac{7}{18}$

385.

$- \frac{2}{15}$

387.

$\frac{−33 - 8 x}{88}$

389.

$\frac{16}{39}$

391.

$\frac{1}{81}$

393.

32

395.

$\frac{36}{25}$

397.

$\frac{60}{7}$

399.

$\frac{15}{2}$

401.

$\frac{3}{13}$

403.

$\frac{19}{30}$

405.

−9

407.

$\frac{91}{60}$

409.

$\frac{11}{40}$

411.

$\frac{5}{6}$

413.

1

415.

$\frac{22}{7}$

417.

ⓐ $\frac{1}{2}$
ⓑ $−1$

419.

ⓐ $0$
ⓑ $- \frac{1}{6}$

421.

ⓐ $\frac{1}{3}$
ⓑ $−1$

423.

ⓐ $\frac{1}{6}$
ⓑ $\frac{2}{3}$

425.

$\frac{4}{15}$

427.

$- \frac{9}{16}$

429.

−2

431.

3

433.

$She needs 2 \frac{3}{8} cups$

435.

Answers will vary.

Section 4.6 Exercises

437.

Four circles are shown. The first three are shaded. The last circle is divided into 3 equal parts. 2 parts are shaded.

$3 \frac{2}{3}$

439.

$3 \frac{2}{3}$

441.

$7 \frac{5}{9}$

443.

11

445.

$11 \frac{1}{3}$

447.

$11 \frac{1}{3}$

449.

A circle is shown. It is divided into 8 equal pieces. 4 pieces are shaded.

$\frac{1}{2}$

451.

$1 \frac{1}{6}$

453.

$6 \frac{2}{5}$

455.

$1 \frac{7}{9}$

457.

$\frac{5}{6}$

459.

$7 \frac{11}{12}$

461.

$16 \frac{1}{6}$

463.

$5 \frac{11}{20}$

465.

$−1 \frac{11}{24}$

467.

$6 \frac{17}{18}$

469.

$\frac{7}{9}$

471.

23

473.

$8 \frac{3}{4}$

475.

$\frac{4}{15}$

477.

$5 \frac{3}{5}$

479.

$\frac{1}{16}$

481.

$13 \frac{1}{13}$

483.

$7 \frac{1}{30}$

485.

$\frac{10}{27}$

487.

$2 \frac{7}{45}$

489.

$\frac{17}{24}$

491.

$\frac{7}{12} yards$

493.

$13 \frac{1}{4} inches$

495.

Answers will vary.

497.

Answers will vary.

Section 4.7 Exercises

499.

ⓐ no
ⓑ yes
ⓒ no

501.

ⓐ no
ⓑ yes
ⓒ no

503.

$m = \frac{1}{2}$

505.

$h = - \frac{2}{3}$

507.

c = −1

509.

z = −1

511.

$p = \frac{37}{40}$

513.

$k = - \frac{7}{15}$

515.

$k = \frac{18}{7}$

517.

$v = - \frac{11}{3}$

519.

b = −27

521.

x = −256

523.

q = 160

525.

s = 45

527.

y = −42

529.

$k = \frac{17}{20}$

531.

p = 100

533.

m = −16

535.

b = −21

537.

v = 36

539.

y = 0

541.

$g = \frac{1}{9}$

543.

$q = - \frac{3}{4}$

545.

$n = \frac{14}{5}$

547.

$y = - \frac{25}{24}$

549.

$d = - \frac{8}{15}$

551.

$\frac{n}{6} = −24; n = −144$

553.

$\frac{m}{−7} = −8; m = 56$

555.

$\frac{f}{−4} = −20; f = 80$

557.

$\frac{g}{9} = 14; g = 126$

559.

$\frac{2}{5} q = 20; q = 50$

561.

$\frac{4}{9} p = −28; p = −63$

563.

$\frac{h}{2} = 43$

565.

$\frac{a}{\frac{2}{3}} = \frac{3}{4}$

567.

$\frac{3}{4} + x = \frac{1}{8}; x = - \frac{5}{8}$

569.

$y - \frac{1}{3} = - \frac{1}{6}; y = \frac{1}{6}$

571.

30 inches

573.

Answers will vary.

Review Exercises

575.

$\frac{5}{9}$

577.

$\frac{3}{2}$

579.

$5 \frac{8}{11}$

581.

$\frac{49}{5}$

583.

Answers may vary.

585.

587.

>

589.

$- \frac{3}{4}$

591.

$- \frac{x}{y}$

593.

$- \frac{4}{7}$

595.

$\frac{24}{11} m$

597.

6

599.

$\frac{4}{15}$

601.

−4

603.

4

605.

$\frac{4}{15}$

607.

8

609.

$- \frac{268}{11}$

611.

8

613.

$\frac{V}{h - 6}$

615.

$- \frac{2}{9}$

617.

22

619.

$\frac{7}{36}$

621.

$\frac{5}{8}$

623.

$\frac{3}{5}$

625.

$\frac{x + 7}{10}$

627.

$\frac{1}{2}$

629.

$- \frac{19}{15}$

631.

$\frac{8}{15}$

633.

15

635.

60

637.

$\frac{9}{24} and \frac{20}{24}$

639.

$\frac{20}{60}, \frac{15}{60} and \frac{48}{60}$

641.

$\frac{1}{4}$

643.

$- \frac{77}{90}$

645.

$\frac{3 y - 10}{30}$

647.

$\frac{14 d}{11}$

649.

$\frac{256}{225}$

651.

ⓐ $- \frac{8}{5}$
ⓑ $- \frac{11}{20}$

653.

$13 \frac{2}{3}$

655.

$8 \frac{1}{11}$

657.

$5 \frac{1}{10}$

659.

$\frac{10}{3}$

661.

ⓐ no
ⓑ yes
ⓒ no

663.

$n = - \frac{5}{11}$

665.

$h = - \frac{51}{40}$

667.

z = −23

669.

$q - \frac{1}{10} = \frac{1}{2}; q = \frac{3}{5}$

671.

$\frac{3}{8} y = 24; y = 64$

Practice Test

673.

$\frac{23}{7}$

675.

$\frac{1}{4}$

677.

$\frac{1}{4}$

679.

16u

681.

−2

683.

$\frac{12}{25}$

685.

5

687.

$\frac{5 p}{2 q}$

689.

13

691.

$- \frac{7}{13}$

693.

−1

695.

$- \frac{9}{4 x}$

697.

3

699.

$y = \frac{4}{5}$

701.

$f = \frac{13}{12}$

703.

c = −27

Chapter 4

Try It

Section 4.1 Exercises

Section 4.2 Exercises

Section 4.3 Exercises

Section 4.4 Exercises

Section 4.5 Exercises

Section 4.6 Exercises

Section 4.7 Exercises

Review Exercises

Practice Test