5.8: Suplemento de ejercicio
- Page ID
- 116667
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Sumas y restas de fracciones con denominadores similares y contrarios, y suma y resta de números mixtos ([link], [link], [link])
Para los problemas 1-53, realice cada operación indicada y escriba el resultado en la forma más simple.
Ejercicio\(\PageIndex{1}\)
\(\dfrac{3}{4} + \dfrac{5}{8}\)
- Contestar
-
\(\dfrac{11}{8}\)o\(1 \dfrac{3}{8}\)
Ejercicio\(\PageIndex{2}\)
\(\dfrac{9}{16} + \dfrac{1}{4}\)
Ejercicio\(\PageIndex{3}\)
\(\dfrac{1}{8} + \dfrac{3}{8}\)
- Contestar
-
\(\dfrac{1}{2}\)
Ejercicio\(\PageIndex{4}\)
\(\dfrac{5}{7} + \dfrac{1}{14} + \dfrac{5}{21}\)
Ejercicio\(\PageIndex{5}\)
\(\dfrac{5}{6} + \dfrac{1}{3} + \dfrac{5}{21}\)
- Contestar
-
\(\dfrac{59}{42} = 1 \dfrac{17}{42}\)
Ejercicio\(\PageIndex{6}\)
\(\dfrac{2}{5} + \dfrac{1}{8}\)
Ejercicio\(\PageIndex{7}\)
\(\dfrac{1}{4} + \dfrac{1}{8} + \dfrac{1}{4}\)
- Contestar
-
\(\dfrac{5}{8}\)
Ejercicio\(\PageIndex{8}\)
\(\dfrac{1}{16} + \dfrac{1}{10}\)
Ejercicio\(\PageIndex{9}\)
\(\dfrac{2}{7} + \dfrac{1}{3}\)
- Contestar
-
\(\dfrac{13}{21}\)
Ejercicio\(\PageIndex{10}\)
\(2 \dfrac{1}{3} + \dfrac{1}{6}\)
Ejercicio\(\PageIndex{11}\)
\(3 \dfrac{11}{16} + \dfrac{3}{4}\)
- Contestar
-
\(4 \dfrac{7}{16}\)
Ejercicio\(\PageIndex{12}\)
\(5 \dfrac{1}{12} + 3 \dfrac{1}{8}\)
Ejercicio\(\PageIndex{13}\)
\(16 \dfrac{2}{5} + 8 \dfrac{1}{4}\)
- Contestar
-
\(8 \dfrac{3}{20}\)
Ejercicio\(\PageIndex{14}\)
\(1 \dfrac{1}{7} + 2 \dfrac{4}{7}\)
Ejercicio\(\PageIndex{15}\)
\(1 \dfrac{3}{8} + 0\)
- Contestar
-
\(1 \dfrac{3}{8}\)
Ejercicio\(\PageIndex{16}\)
\(3 \dfrac{1}{10} + 4\)
Ejercicio\(\PageIndex{17}\)
\(18 \dfrac{2}{3} + 6\)
- Contestar
-
\(24 \dfrac{2}{3}\)
Ejercicio\(\PageIndex{18}\)
\(1 \dfrac{4}{3} + 5 \dfrac{5}{4}\)
Ejercicio\(\PageIndex{19}\)
\(\dfrac{21}{4} + \dfrac{2}{3}\)
- Contestar
-
\(\dfrac{71}{12} = 5 \dfrac{11}{12}\)
Ejercicio\(\PageIndex{20}\)
\(\dfrac{15}{16} - \dfrac{1}{8}\)
Ejercicio\(\PageIndex{21}\)
\(\dfrac{9}{11} - \dfrac{5}{22}\)
- Contestar
-
\(\dfrac{13}{22}\)
Ejercicio\(\PageIndex{22}\)
\(6 \dfrac{2}{15} - 1 \dfrac{3}{10}\)
Ejercicio\(\PageIndex{23}\)
\(5 \dfrac{2}{3} + 8 \dfrac{1}{5} - 2 \dfrac{1}{4}\)
- Contestar
-
\(11 \dfrac{37}{60}\)
Ejercicio\(\PageIndex{24}\)
\(8 \dfrac{3}{10} - 4 \dfrac{5}{6} - 3 \dfrac{1}{15}\)
Ejercicio\(\PageIndex{25}\)
\(\dfrac{11}{12} + \dfrac{1}{9} - \dfrac{1}{16}\)
- Contestar
-
\(\dfrac{139}{144}\)
Ejercicio\(\PageIndex{26}\)
\(7 \dfrac{2}{9} - 5 \dfrac{5}{6} - 1 \dfrac{1}{3}\)
Ejercicio\(\PageIndex{27}\)
\(16 \dfrac{2}{5} - 8 \dfrac{1}{6} - 3 \dfrac{2}{15}\)
- Contestar
-
\(5 \dfrac{1}{10}\)
Ejercicio\(\PageIndex{28}\)
\(4 \dfrac{1}{8} + 0 - \dfrac{32}{8}\)
Ejercicio\(\PageIndex{29}\)
\(4 \dfrac{1}{8} + 0 - \dfrac{32}{8}\)
- Contestar
-
\(\dfrac{1}{8}\)
Ejercicio\(\PageIndex{30}\)
\(8 - 2 \dfrac{1}{3}\)
Ejercicio\(\PageIndex{31}\)
\(4 - 3 \dfrac{5}{16}\)
- Contestar
-
\(\dfrac{11}{16}\)
Ejercicio\(\PageIndex{32}\)
\(6 \dfrac{3}{7} + 4\)
Ejercicio\(\PageIndex{33}\)
\(11 \dfrac{2}{11} - 3\)
- Contestar
-
\(8 \dfrac{2}{11}\)
Ejercicio\(\PageIndex{34}\)
\ (21\ dfrac {5} {8} -\ dfrac {5} {8})
Ejercicio\(\PageIndex{35}\)
\(\dfrac{3}{4} + \dfrac{5}{16} \cdot \dfrac{4}{5}\)
- Contestar
-
1
Ejercicio\(\PageIndex{36}\)
\(\dfrac{11}{12} + \dfrac{15}{16} \div 2 \dfrac{1}{2}\)
Ejercicio\(\PageIndex{37}\)
\(1 \dfrac{3}{10} + 2 \dfrac{2}{3} \div \dfrac{4}{9}\)
- Contestar
-
\(7 \dfrac{3}{10}\)
Ejercicio\(\PageIndex{38}\)
\(8 \dfrac{3}{5} - 1 \dfrac{1}{14} \cdot \dfrac{3}{7}\)
Ejercicio\(\PageIndex{39}\)
\(2 \dfrac{3}{8} \div 3 \dfrac{9}{16} - \dfrac{1}{9}\)
- Contestar
-
\(\dfrac{5}{9}\)
Ejercicio\(\PageIndex{40}\)
\(15 \dfrac{2}{5} \div 50 - \dfrac{1}{10}\)
Fracciones Complejas y Combinaciones de Operaciones con Fracciones ([link], [link])
Ejercicio\(\PageIndex{41}\)
\(\dfrac{\dfrac{9}{16}}{\dfrac{21}{32}}\)
- Contestar
-
\(\dfrac{6}{7}\)
Ejercicio\(\PageIndex{42}\)
\(\dfrac{\dfrac{10}{21}}{\dfrac{11}{14}}\)
Ejercicio\(\PageIndex{43}\)
\(1 \dfrac{\dfrac{7}{9}}{1 \dfrac{5}{27}}\)
- Contestar
-
\(\dfrac{3}{2}\)o\(1 \dfrac{1}{2}\)
Ejercicio\(\PageIndex{44}\)
\(\dfrac{\dfrac{15}{17}}{\dfrac{50}{51}}\)
Ejercicio\(\PageIndex{45}\)
\(\dfrac{1 \dfrac{9}{16}}{2 \dfrac{11}{12}}\)
- Contestar
-
\(\dfrac{15}{28}\)
Ejercicio\(\PageIndex{46}\)
\(\dfrac{8 \dfrac{4}{15}}{3}\)
Ejercicio\(\PageIndex{47}\)
\(\dfrac{9 \dfrac{1}{18}}{6}\)
- Contestar
-
\(\dfrac{163}{108}\)o\(1 \dfrac{55}{108}\)
Ejercicio\(\PageIndex{48}\)
\(\dfrac{3 \dfrac{1}{4} + 2 \dfrac{1}{8}}{5 \dfrac{1}{6}}\)
Ejercicio\(\PageIndex{49}\)
\(\dfrac{3 + 2 \dfrac{1}{2}}{\dfrac{1}{4} + \dfrac{5}{6}}\)
- Contestar
-
\(\dfrac{66}{13}\)o\(5 \dfrac{1}{13}\)
Ejercicio\(\PageIndex{50}\)
\(\dfrac{4 + 1 \dfrac{7}{10}}{9 - 2 \dfrac{1}{5}}\)
Ejercicio\(\PageIndex{51}\)
\(1 \dfrac{\dfrac{2}{5}}{9 - \dfrac{2}{2}}\)
- Contestar
-
\(\dfrac{7}{40}\)
Ejercicio\(\PageIndex{52}\)
\(\dfrac{1 \dfrac{2}{3} \cdot (\dfrac{1}{4} + \dfrac{1}{5})}{1 \dfrac{1}{2}}\)
Ejercicio\(\PageIndex{53}\)
\(\dfrac{\dfrac{10}{23} \cdot (\dfrac{5}{6} + 2)}{\dfrac{8}{9}}\)
- Contestar
-
\(\dfrac{255}{184}\)o\(1 \dfrac{71}{184}\)
Comparando Fracciones
Para problemas 54-65, coloque cada colección en orden de menor a mayor.
Ejercicio\(\PageIndex{54}\)
\(\dfrac{1}{8}, \dfrac{3}{16}\)
Ejercicio\(\PageIndex{55}\)
\(\dfrac{3}{32}, \dfrac{1}{8}\)
- Contestar
-
\(\dfrac{3}{32}, \dfrac{1}{8}\)
Ejercicio\(\PageIndex{56}\)
\(\dfrac{5}{16}, \dfrac{3}{24}\)
Ejercicio\(\PageIndex{57}\)
\(\dfrac{3}{10}, \dfrac{5}{6}\)
- Contestar
-
\(\dfrac{3}{10}, \dfrac{5}{6}\)
Ejercicio\(\PageIndex{58}\)
\(\dfrac{2}{9}, \dfrac{1}{3}, \dfrac{1}{6}\)
Ejercicio\(\PageIndex{59}\)
\(\dfrac{3}{8}, \dfrac{8}{3}, \dfrac{19}{6}\)
- Contestar
-
\(\dfrac{3}{8}, \dfrac{8}{3}, \dfrac{19}{6}\)
Ejercicio\(\PageIndex{60}\)
\(\dfrac{3}{5}, \dfrac{2}{10}, \dfrac{7}{20}\)
Ejercicio\(\PageIndex{61}\)
\(\dfrac{4}{7}, \dfrac{5}{9}\)
- Contestar
-
\(\dfrac{5}{9}, \dfrac{4}{7}\)
Ejercicio\(\PageIndex{62}\)
\(\dfrac{4}{5}, \dfrac{5}{7}\)
Ejercicio\(\PageIndex{63}\)
\(\dfrac{5}{12}, \dfrac{4}{9}, \dfrac{7}{15}\)
- Contestar
-
\(\dfrac{5}{12}, \dfrac{4}{9}, \dfrac{7}{15}\)
Ejercicio\(\PageIndex{64}\)
\(\dfrac{7}{36}, \dfrac{1}{24}, \dfrac{5}{12}\)
Ejercicio\(\PageIndex{65}\)
\(\dfrac{5}{8}, \dfrac{13}{16}, \dfrac{3}{4}\)
- Contestar
-
\(\dfrac{5}{8}, \dfrac{3}{4}, \dfrac{13}{16}\)