Respuestas
Respuesta dada por:
1
El ejercicio 7) no lo haré porque no se ve...¬¬
Para resolver primero necesitamos ver las siguientes notas
![a:b= \frac{a}{b} \\ \\ ( \frac{a}{b} ) :( \frac{d}{c} )= \frac{a}{b} ( \frac{c}{d} ) a:b= \frac{a}{b} \\ \\ ( \frac{a}{b} ) :( \frac{d}{c} )= \frac{a}{b} ( \frac{c}{d} )](https://tex.z-dn.net/?f=a%3Ab%3D+%5Cfrac%7Ba%7D%7Bb%7D++%5C%5C++%5C%5C+%28+%5Cfrac%7Ba%7D%7Bb%7D+%29+%3A%28+%5Cfrac%7Bd%7D%7Bc%7D+%29%3D+%5Cfrac%7Ba%7D%7Bb%7D+%28+%5Cfrac%7Bc%7D%7Bd%7D+%29)
Para pasar de un división a una multiplicación lo que haces es dar invertir al segundo término.
Empecemos
8)
![(-1- \frac{1}{3}-2- \frac{1}{2} ): \frac{12}{5} \\ ( \frac{-6-2-12-3}{6} )( \frac{5}{12} ) \\ (- \frac{23}{6} )( \frac{5}{12} )=- \frac{115}{72} (-1- \frac{1}{3}-2- \frac{1}{2} ): \frac{12}{5} \\ ( \frac{-6-2-12-3}{6} )( \frac{5}{12} ) \\ (- \frac{23}{6} )( \frac{5}{12} )=- \frac{115}{72}](https://tex.z-dn.net/?f=%28-1-+%5Cfrac%7B1%7D%7B3%7D-2-+%5Cfrac%7B1%7D%7B2%7D++%29%3A+%5Cfrac%7B12%7D%7B5%7D++%5C%5C+%28+%5Cfrac%7B-6-2-12-3%7D%7B6%7D+%29%28+%5Cfrac%7B5%7D%7B12%7D+%29+%5C%5C+%28-+%5Cfrac%7B23%7D%7B6%7D+%29%28+%5Cfrac%7B5%7D%7B12%7D+%29%3D-+%5Cfrac%7B115%7D%7B72%7D+)
9)
![-3- \frac{3}{10} :(7+ \frac{5}{6}-4- \frac{9}{10} ) \\ -3+(- \frac{3}{10} ):( \frac{420+50-240-54}{60} ) \\ -3+(- \frac{3}{10} )( \frac{60}{176} ) \\ -3- \frac{18}{176} =-( \frac{528+18}{176})=- \frac{546}{176} -3- \frac{3}{10} :(7+ \frac{5}{6}-4- \frac{9}{10} ) \\ -3+(- \frac{3}{10} ):( \frac{420+50-240-54}{60} ) \\ -3+(- \frac{3}{10} )( \frac{60}{176} ) \\ -3- \frac{18}{176} =-( \frac{528+18}{176})=- \frac{546}{176}](https://tex.z-dn.net/?f=-3-+%5Cfrac%7B3%7D%7B10%7D+%3A%287%2B+%5Cfrac%7B5%7D%7B6%7D-4-+%5Cfrac%7B9%7D%7B10%7D++%29+%5C%5C+-3%2B%28-+%5Cfrac%7B3%7D%7B10%7D+%29%3A%28+%5Cfrac%7B420%2B50-240-54%7D%7B60%7D+%29+%5C%5C+-3%2B%28-+%5Cfrac%7B3%7D%7B10%7D+%29%28+%5Cfrac%7B60%7D%7B176%7D+%29+%5C%5C+-3-+%5Cfrac%7B18%7D%7B176%7D+%3D-%28+%5Cfrac%7B528%2B18%7D%7B176%7D%29%3D-+%5Cfrac%7B546%7D%7B176%7D+)
10)
![1+ \frac{3}{8} -( \frac{7}{3}- \frac{1}{12} ) \\ ( \frac{8+3}{8} )-( \frac{28-1}{12} ) \\ \frac{11}{8} - \frac{27}{12} = \frac{11}{8} - \frac{9}{4} = \frac{11-18}{8} =- \frac{7}{8} 1+ \frac{3}{8} -( \frac{7}{3}- \frac{1}{12} ) \\ ( \frac{8+3}{8} )-( \frac{28-1}{12} ) \\ \frac{11}{8} - \frac{27}{12} = \frac{11}{8} - \frac{9}{4} = \frac{11-18}{8} =- \frac{7}{8}](https://tex.z-dn.net/?f=1%2B+%5Cfrac%7B3%7D%7B8%7D+-%28+%5Cfrac%7B7%7D%7B3%7D-+%5Cfrac%7B1%7D%7B12%7D++%29+%5C%5C+%28+%5Cfrac%7B8%2B3%7D%7B8%7D+%29-%28+%5Cfrac%7B28-1%7D%7B12%7D+%29+%5C%5C++%5Cfrac%7B11%7D%7B8%7D+-+%5Cfrac%7B27%7D%7B12%7D+%3D+%5Cfrac%7B11%7D%7B8%7D+-+%5Cfrac%7B9%7D%7B4%7D+%3D+%5Cfrac%7B11-18%7D%7B8%7D+%3D-+%5Cfrac%7B7%7D%7B8%7D+)
11)
![(4+ \frac{1}{2}-5- \frac{1}{3} )- \frac{7}{8} \\ ( \frac{24+3-30-2}{6} ) - \frac{7}{8} \\ -\frac{5}{6} - \frac{7}{8} = \frac{-20-21}{24} = -\frac{41}{24} (4+ \frac{1}{2}-5- \frac{1}{3} )- \frac{7}{8} \\ ( \frac{24+3-30-2}{6} ) - \frac{7}{8} \\ -\frac{5}{6} - \frac{7}{8} = \frac{-20-21}{24} = -\frac{41}{24}](https://tex.z-dn.net/?f=%284%2B+%5Cfrac%7B1%7D%7B2%7D-5-+%5Cfrac%7B1%7D%7B3%7D++%29-+%5Cfrac%7B7%7D%7B8%7D+%5C%5C+%28+%5Cfrac%7B24%2B3-30-2%7D%7B6%7D+%29+-+%5Cfrac%7B7%7D%7B8%7D++%5C%5C++-%5Cfrac%7B5%7D%7B6%7D+-+%5Cfrac%7B7%7D%7B8%7D+%3D+%5Cfrac%7B-20-21%7D%7B24%7D+%3D+-%5Cfrac%7B41%7D%7B24%7D+)
12)
![( \frac{4}{5}-2 )-( \frac{3}{8}+(- \frac{5}{6} ) ) \\ ( \frac{4-19}{5} )-( \frac{9-20}{24} ) \\ (- \frac{15}{5} )-( -\frac{11}{24} ) \\ -3+ \frac{11}{24} \\ \frac{-72+11}{24} = -\frac{61}{24} ( \frac{4}{5}-2 )-( \frac{3}{8}+(- \frac{5}{6} ) ) \\ ( \frac{4-19}{5} )-( \frac{9-20}{24} ) \\ (- \frac{15}{5} )-( -\frac{11}{24} ) \\ -3+ \frac{11}{24} \\ \frac{-72+11}{24} = -\frac{61}{24}](https://tex.z-dn.net/?f=%28+%5Cfrac%7B4%7D%7B5%7D-2+%29-%28+%5Cfrac%7B3%7D%7B8%7D%2B%28-+%5Cfrac%7B5%7D%7B6%7D+%29+%29+%5C%5C+%28+%5Cfrac%7B4-19%7D%7B5%7D+%29-%28+%5Cfrac%7B9-20%7D%7B24%7D+%29+%5C%5C+%28-+%5Cfrac%7B15%7D%7B5%7D+%29-%28+-%5Cfrac%7B11%7D%7B24%7D+%29+%5C%5C+-3%2B+%5Cfrac%7B11%7D%7B24%7D++%5C%5C++%5Cfrac%7B-72%2B11%7D%7B24%7D+%3D+-%5Cfrac%7B61%7D%7B24%7D+)
13)
![(- \frac{7}{8}: \frac{1}{2} )-1- \frac{3}{8} +( \frac{3}{5}- \frac{2}{3} ) \\ (- \frac{7}{8} (2))-1- \frac{3}{8} + \frac{3}{5} - \frac{2}{3} \\ - \frac{7}{4} -1- \frac{3}{8}+ \frac{3}{5} - \frac{2}{3} = \frac{383}{120} (- \frac{7}{8}: \frac{1}{2} )-1- \frac{3}{8} +( \frac{3}{5}- \frac{2}{3} ) \\ (- \frac{7}{8} (2))-1- \frac{3}{8} + \frac{3}{5} - \frac{2}{3} \\ - \frac{7}{4} -1- \frac{3}{8}+ \frac{3}{5} - \frac{2}{3} = \frac{383}{120}](https://tex.z-dn.net/?f=%28-+%5Cfrac%7B7%7D%7B8%7D%3A+%5Cfrac%7B1%7D%7B2%7D+%29-1-+%5Cfrac%7B3%7D%7B8%7D+%2B%28+%5Cfrac%7B3%7D%7B5%7D-+%5Cfrac%7B2%7D%7B3%7D++%29+%5C%5C+%28-+%5Cfrac%7B7%7D%7B8%7D+%282%29%29-1-+%5Cfrac%7B3%7D%7B8%7D+%2B+%5Cfrac%7B3%7D%7B5%7D+-+%5Cfrac%7B2%7D%7B3%7D++%5C%5C+-+%5Cfrac%7B7%7D%7B4%7D+-1-+%5Cfrac%7B3%7D%7B8%7D%2B+%5Cfrac%7B3%7D%7B5%7D+-+%5Cfrac%7B2%7D%7B3%7D+%3D+%5Cfrac%7B383%7D%7B120%7D+)
14)
![(- \frac{3}{8}+1 ):((- \frac{7}{3} ( \frac{3}{4} ))+1) \\ ( \frac{-3+8}{8} ):(- \frac{7}{4} +1) \\ \frac{5}{8} :( \frac{-7+4}{4} ) \\ \frac{5}{8} :(- \frac{3}{4} ) \\ \frac{5}{8} ( -\frac{4}{3} )=- \frac{5}{6} (- \frac{3}{8}+1 ):((- \frac{7}{3} ( \frac{3}{4} ))+1) \\ ( \frac{-3+8}{8} ):(- \frac{7}{4} +1) \\ \frac{5}{8} :( \frac{-7+4}{4} ) \\ \frac{5}{8} :(- \frac{3}{4} ) \\ \frac{5}{8} ( -\frac{4}{3} )=- \frac{5}{6}](https://tex.z-dn.net/?f=%28-+%5Cfrac%7B3%7D%7B8%7D%2B1+%29%3A%28%28-+%5Cfrac%7B7%7D%7B3%7D+%28+%5Cfrac%7B3%7D%7B4%7D+%29%29%2B1%29+%5C%5C+%28+%5Cfrac%7B-3%2B8%7D%7B8%7D+%29%3A%28-+%5Cfrac%7B7%7D%7B4%7D+%2B1%29+%5C%5C++%5Cfrac%7B5%7D%7B8%7D+%3A%28+%5Cfrac%7B-7%2B4%7D%7B4%7D+%29+%5C%5C++%5Cfrac%7B5%7D%7B8%7D+%3A%28-+%5Cfrac%7B3%7D%7B4%7D+%29+%5C%5C++%5Cfrac%7B5%7D%7B8%7D+%28+-%5Cfrac%7B4%7D%7B3%7D+%29%3D-+%5Cfrac%7B5%7D%7B6%7D+)
Y eso sería todo espero te sirva
Para resolver primero necesitamos ver las siguientes notas
Para pasar de un división a una multiplicación lo que haces es dar invertir al segundo término.
Empecemos
8)
9)
10)
11)
12)
13)
14)
Y eso sería todo espero te sirva
Respuesta dada por:
2
8.- (-3-1/3 -4 -1/4):12/5
(-4/3 -5/4)x5/12
(-16 -15/12)x5/12
(-31/12)x5/12
-155/144
9.- -30-3/10 : (42+5/6-40-9/10)
-33/10 : (47/6 - 49/10)
-33/10 : (470- 294/60)
-33/10 : 176/60
-33/10 x 60/176
- 1980 /1760 = -990/880 = -99/88 = -9/8
10.- 8 + 3/8 - (84 - 3 /36)
11/8 - (81/36)
396 - 648 /288
-252/288 = -126/144 = -62/72 = - 31/36
11.- (8+1/2 +15-1/3) - 7/8
(9/2 + 14/3) - 7/8
(27 + 28/ 6) -7/8
55/6 - 7/8
440 - 42 / 48 = 398/48 = 149/24 =6.2083
12.- (4 -10/5) - (18 -40/48)
(-6/5) - ( - 22/48)
-6/5 + 22/48
-288 + 110/240
-170/240 = -17/24
13.- - 14/8 - (-3/8 + (9-10/15))
-14/8 - (-3/8 +(-1/15))
-14/8 - ( -3/8 - 1/15)
-14/8 - ( -45 -8/120)
-14/8 - ( -53/120)
-14/8 + 53/120
-7/4 + 53/120 = 840 + 220 / 480 = 1060/480 = 106/28=53/14
(-4/3 -5/4)x5/12
(-16 -15/12)x5/12
(-31/12)x5/12
-155/144
9.- -30-3/10 : (42+5/6-40-9/10)
-33/10 : (47/6 - 49/10)
-33/10 : (470- 294/60)
-33/10 : 176/60
-33/10 x 60/176
- 1980 /1760 = -990/880 = -99/88 = -9/8
10.- 8 + 3/8 - (84 - 3 /36)
11/8 - (81/36)
396 - 648 /288
-252/288 = -126/144 = -62/72 = - 31/36
11.- (8+1/2 +15-1/3) - 7/8
(9/2 + 14/3) - 7/8
(27 + 28/ 6) -7/8
55/6 - 7/8
440 - 42 / 48 = 398/48 = 149/24 =6.2083
12.- (4 -10/5) - (18 -40/48)
(-6/5) - ( - 22/48)
-6/5 + 22/48
-288 + 110/240
-170/240 = -17/24
13.- - 14/8 - (-3/8 + (9-10/15))
-14/8 - (-3/8 +(-1/15))
-14/8 - ( -3/8 - 1/15)
-14/8 - ( -45 -8/120)
-14/8 - ( -53/120)
-14/8 + 53/120
-7/4 + 53/120 = 840 + 220 / 480 = 1060/480 = 106/28=53/14
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