Chapter 4 Review Lessons 41 Through 44 Answers

Be Prepared

4.3

$\mathrm{ii}\cdot 2\cdot 2\cdot \mathrm{two}\cdot \mathrm{iii}$

4.5

Answers may vary. Acceptable answers include $\frac{10}{12},\frac{15}{18},\frac{50}{60},$ etc.

4.12

$\frac{10}{12},\frac{15}{18}$

Effort It

4.9

$\frac{5}{3}=\mathrm{ane}\frac{2}{\mathrm{iii}}$

4.10

$\frac{13}{8}=\mathrm{ane}\frac{\mathrm{v}}{\mathrm{viii}}$

iv.27

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

4.28

Correct answers include $\frac{\mathrm{eight}}{\mathrm{ten}},\frac{12}{15},$ and $\frac{\mathrm{sixteen}}{20}.$

4.57

1. ⓐ $\frac{\mathrm{seven}}{5}$
2. ⓑ $\mathrm{-8}$
3. ⓒ $-\frac{4}{11}$
4. ⓓ $\frac{\mathrm{i}}{\mathrm{fourteen}}$

4.58

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

4.93

$-\frac{\mathrm{iii}}{5},\frac{3}{\mathrm{-5}}$

4.94

$\frac{\mathrm{-2}}{\mathrm{vii}},\frac{\mathrm{ii}}{\mathrm{-7}}$

iv.115

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

4.116

$\frac{\mathrm{ane}}{6}$ , models may differ

4.120

$\frac{y-\mathrm{xiii}}{14}$

4.129

$\frac{\mathrm{ix}}{12},\frac{\mathrm{x}}{12}$

four.130

$-\frac{35}{\mathrm{lx}},\frac{44}{\mathrm{lx}}$

4.131

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

iv.132

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

4.143

$\frac{\mathrm{iii}y+\mathrm{xiv}}{18}$

iv.144

$\frac{\mathrm{five}\mathrm{ten}+14}{30}$

4.145

1. ⓐ $-\frac{11}{12}$
2. ⓑ $-\frac{1}{\mathrm{eight}}$

4.146

1. ⓐ $-\frac{10}{3}$
2. ⓑ $\frac{13}{12}$

4.147

1. ⓐ $\frac{(27a-32)}{36}$
2. ⓑ $\frac{2a}{3}$

4.148

1. ⓐ $\frac{(24k+25)}{\mathrm{xxx}}$
2. ⓑ $\frac{24k}{25}$

iv.207

$\frac{n}{\mathrm{seven}}=\mathrm{-21};n=\mathrm{-147}$

four.208

$\frac{n}{8}=\mathrm{-56};n=\mathrm{-448}$

iv.209

$\frac{q}{\mathrm{-8}}=72;q=\mathrm{-576}$

four.210

$\frac{p}{\mathrm{-9}}=81;p=\mathrm{-729}$

iv.211

$\frac{\mathrm{two}}{5}f=16;f=40$

four.212

$\frac{\mathrm{three}}{\mathrm{four}}f=21;f=28$

4.213

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

4.214

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

4.215

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

iv.216

$1\frac{3}{\mathrm{iv}}-x=\frac{5}{\mathrm{half\; dozen}};\mathrm{ten}=\frac{11}{12}$

Section four.1 Exercises

one.

1. ⓐ $\frac{\mathrm{i}}{\mathrm{four}}$
2. ⓑ $\frac{3}{\mathrm{iv}}$
3. ⓒ $\frac{3}{8}$
4. ⓓ $\frac{5}{\mathrm{viii}}$

17.

1. ⓐ $\frac{\mathrm{five}}{\mathrm{four}}=1\frac{1}{4}$
2. ⓑ $\frac{\mathrm{vii}}{4}=\mathrm{i}\frac{\mathrm{iii}}{\mathrm{iv}}$
3. ⓒ $\frac{11}{8}=1\frac{\mathrm{three}}{8}$

19.

1. ⓐ $\frac{11}{\mathrm{four}}=2\frac{3}{\mathrm{iv}}$
2. ⓑ $\frac{19}{8}=\mathrm{two}\frac{3}{8}$

51.

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

53.

Answers may vary. Correct answers include $\frac{\mathrm{ten}}{12},\frac{\mathrm{fifteen}}{18},\frac{\mathrm{twenty}}{24}.$

55.

Answers may vary. Correct answers include $\frac{\mathrm{ten}}{18},\frac{\mathrm{xv}}{27},\frac{20}{36}.$

Section four.2 Exercises

97.

$\frac{5}{18}$

169.

• ⓐ $4·\frac{\mathrm{two}}{3}$ cups$=\frac{\mathrm{viii}}{\mathrm{iii}}$ cups$=2\frac{2}{\mathrm{three}}$ cups$$
• ⓑ Answers will vary.

Section 4.iii Exercises

215.

$\frac{\mathrm{-iv}}{9},-\frac{\mathrm{iv}}{9}$

217.

$\frac{\mathrm{thirteen}}{\mathrm{-half\; dozen}},\frac{\mathrm{-xiii}}{\mathrm{half\; dozen}}$

249.

1. ⓐ $\frac{4}{3}=\mathrm{i}\frac{1}{\mathrm{three}}$ cups
2. ⓑ $\frac{80}{\mathrm{three}}=26\frac{\mathrm{ii}}{3}$ cups

Department 4.4 Exercises

291.

$\frac{11z-8}{\mathrm{thirteen}}$

315.

No, calculation up the number of pieces gives $\frac{13}{12}$ , which is greater than 1. (Answers may vary.)

Section 4.5 Exercises

327.

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

329.

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

331.

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

333.

$\frac{\mathrm{twenty}}{60},\frac{45}{60},\frac{36}{60}$

369.

$\frac{\mathrm{iv}x-5}{\mathrm{xx}}$

373.

1. ⓐ $-\frac{37}{\mathrm{xl}}$
2. ⓑ $-\frac{1}{\mathrm{ten}}$

375.

1. ⓐ $\frac{9a}{\mathrm{xiv}}$
2. ⓑ $\frac{\mathrm{nine}a-\mathrm{fourteen}}{24}$

377.

1. ⓐ $-\frac{\mathrm{four}q}{27}$
2. ⓑ $\frac{12-25q}{45}$

387.

$\frac{\mathrm{-33}-8x}{88}$

433.

She needs $\mathrm{ii}\frac{3}{8}$ cups

Department 4.6 Exercises

Section 4.7 Exercises

513.

$k=-\frac{7}{\mathrm{xv}}$

517.

$\mathrm{five}=-\frac{\mathrm{xi}}{3}$

547.

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

549.

$d=-\frac{\mathrm{eight}}{15}$

551.

$\frac{n}{6}=\mathrm{-24};n=\mathrm{-144}$

553.

$\frac{m}{\mathrm{-7}}=\mathrm{-8};m=56$

555.

$\frac{f}{\mathrm{-4}}=\mathrm{-20};f=80$

557.

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

559.

$\frac{2}{5}q=\mathrm{twenty};q=50$

561.

$\frac{4}{\mathrm{ix}}p=\mathrm{-28};p=\mathrm{-63}$

563.

$\frac{h}{2}=43;h=86$

565.

$\frac{a}{\frac{2}{3}}=\frac{3}{4};a=\frac{\mathrm{one}}{2}$

567.

$\frac{\mathrm{three}}{4}+\mathrm{ten}=\frac{1}{8};\mathrm{10}=-\frac{5}{8}$

569.

$y-\frac{1}{3}=-\frac{1}{\mathrm{six}};y=\frac{1}{\mathrm{half-dozen}}$

Review Exercises

577.

$\frac{\mathrm{three}}{2}=1\frac{1}{2}$

639.

$\frac{20}{60},\frac{45}{\mathrm{sixty}}$ and $\frac{48}{60}$

645.

$\frac{3y-10}{\mathrm{thirty}}$

663.

$\mathrm{due\; north}=-\frac{5}{\mathrm{xi}}$

665.

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

669.

$q-\frac{\mathrm{one}}{\mathrm{ten}}=\frac{1}{2};q=\frac{\mathrm{three}}{\mathrm{five}}$

671.

$\frac{\mathrm{three}}{8}y=24;y=64$

Do Test

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Source: https://openstax.org/books/prealgebra-2e/pages/chapter-4

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