Administracion
Páginas: 3 (560 palabras)
Publicado: 24 de octubre de 2012
EJERCICIOS RESUELTOS
1) a)-1/3+(-2/3 ) = - 1/3-2/3=-3/3=-1
b)-7/5+2/5-1/6 = (-42+12-5)/30=-35/30=-7/6
2) a)-51/4+29/4 = - 21/4+11/4=-10/4=-5/2=-21/2
b)(7¦15)+(3¦5)+82/15=((7+9)/15)+122/15=16/15+122/15=138/15=46/5=91/5
3) a) (5/6-4)+27/8=((5-24)/6)+23/8=-19/6+23/8=(-76+69)/24=-7/24
b) 5/6÷(2/3×6/5)=5/6÷4/5=5/6×5/4=25/24=11/24
4) a) (5/8 ×10/50)÷101/12=1/8÷121/12= 1/8× 12/121= 3/242b)(7 3/5+4 1/12+1 1/24)+(6+1/18)=38/5+49/12+ 25/24+( (108+1)/18)= 38/5+ 49/12+ 25/24+109/18= (2736+1470+375+2180)/360= 6761/360
5) a)(6 1/8-1/20-1/55)/((1/3-1/12)×4 4/5)=( 49/8-1/20-1/55)/(((4-1)/12)×24/5)÷2/7=( (2695-22-8)/440)/( 3/12×24/5)÷2/7=( 2665/440)/( 72/60)÷2/7=( 533/220)/3×7/2=533/660×7/2=3731/1320
b) ( 1/(1-1/5)+1/(1- 1/6))/(1/(1-1/3)-1/(1-1/8))×(1/7+2/49-62/343)=( 1/((5-1)/5)+1/( (6-1)/6))/( 1/( (3-1)/3)-1/( (8-1)/8))×(1/7+2/49-62/343)=( 1/( 4/5)+1/( 5/6))/( 1/( 2/3)-1/( 7/8))×(1/7+2/49-62/343)=( 5/4+6/5)/( 3/2-8/7)×(1/7+2/49-62/343)=( (25+24)/20)/((21-16)/14)×1/7+2/49-62/343=( 49/20)/( 5/4)×((49+14-62)/343)=14/2×1/343=1/49
6) a) ( 2/( 3/5)+4/( 6/7))/( 1/( 1/5)-1/( 1/3)) = ( 10/3+28/6)/(5-3)=( (60+84)/18)/2=( 144/18)/2=8/2=4
b) ( (2-2/5)/( 4/5)+(3-1/3)/( 4/3))/((4-1/4)/( 1/2)+(5-1/5)/24)×(7/20×11/2)=( ( 8/5)/( 4/5)+( 8/3)/( 4/3))/( ( 15/4)/( 1/2)+( 24/5)/24)×(7/20×11/2)=( 40/20+24/12)/( 30/4+24/120)×(7/20×11/2)=( (12+12)/60)/( (900+24)/120)×(7/20×11/2)=(240/60)/( 924/120)×7/20×11/2=( ( ( 1/720)/1440)/28800)/( 55440/( 7920/( 720/1)))×( 1/7)/( 20/1)×( 1/11)/( 2/1)=1
7) a)[ ( 2^3×( 1/2) ^3)/( 3^2×( 2/3) ^2 )]=[ (8×1/8)/(9×4/9)] ^2=[ ( 1/1)/4] ^2=[ 1/4]^2=1/16
b) [ ( ( 2/3) ^4×( 3/2) ^2)/(2×( 1/3) ^2 )]=[ ( ( 4/16)/( 81/9)×( 1/9)/( 4/1))/(2×1/9)]=[ ( 4/9)/( 2/9)] ^2=[ 36/18] ^2=1296/342=4
a) ( 2^0×2^(-1)×(-2) ^3)/( 2^(-2)×(-2) ^2×(-2) ^(-2))=(1×1/2×-8)/(1/2×4×2)=-4/4=-1
b)( (-5) ^3×(-8) ^3×(-9) ^2)/( 〖15〗^2×204)=(-125×-512×81)/(225×204)=( ( ( ( ( ( ( 192/960)/4800)/14400)/43200)/129600)/2502000)/5184000)/( 45900/( 22950/( 11475/(...
1) a)-1/3+(-2/3 ) = - 1/3-2/3=-3/3=-1
b)-7/5+2/5-1/6 = (-42+12-5)/30=-35/30=-7/6
2) a)-51/4+29/4 = - 21/4+11/4=-10/4=-5/2=-21/2
b)(7¦15)+(3¦5)+82/15=((7+9)/15)+122/15=16/15+122/15=138/15=46/5=91/5
3) a) (5/6-4)+27/8=((5-24)/6)+23/8=-19/6+23/8=(-76+69)/24=-7/24
b) 5/6÷(2/3×6/5)=5/6÷4/5=5/6×5/4=25/24=11/24
4) a) (5/8 ×10/50)÷101/12=1/8÷121/12= 1/8× 12/121= 3/242b)(7 3/5+4 1/12+1 1/24)+(6+1/18)=38/5+49/12+ 25/24+( (108+1)/18)= 38/5+ 49/12+ 25/24+109/18= (2736+1470+375+2180)/360= 6761/360
5) a)(6 1/8-1/20-1/55)/((1/3-1/12)×4 4/5)=( 49/8-1/20-1/55)/(((4-1)/12)×24/5)÷2/7=( (2695-22-8)/440)/( 3/12×24/5)÷2/7=( 2665/440)/( 72/60)÷2/7=( 533/220)/3×7/2=533/660×7/2=3731/1320
b) ( 1/(1-1/5)+1/(1- 1/6))/(1/(1-1/3)-1/(1-1/8))×(1/7+2/49-62/343)=( 1/((5-1)/5)+1/( (6-1)/6))/( 1/( (3-1)/3)-1/( (8-1)/8))×(1/7+2/49-62/343)=( 1/( 4/5)+1/( 5/6))/( 1/( 2/3)-1/( 7/8))×(1/7+2/49-62/343)=( 5/4+6/5)/( 3/2-8/7)×(1/7+2/49-62/343)=( (25+24)/20)/((21-16)/14)×1/7+2/49-62/343=( 49/20)/( 5/4)×((49+14-62)/343)=14/2×1/343=1/49
6) a) ( 2/( 3/5)+4/( 6/7))/( 1/( 1/5)-1/( 1/3)) = ( 10/3+28/6)/(5-3)=( (60+84)/18)/2=( 144/18)/2=8/2=4
b) ( (2-2/5)/( 4/5)+(3-1/3)/( 4/3))/((4-1/4)/( 1/2)+(5-1/5)/24)×(7/20×11/2)=( ( 8/5)/( 4/5)+( 8/3)/( 4/3))/( ( 15/4)/( 1/2)+( 24/5)/24)×(7/20×11/2)=( 40/20+24/12)/( 30/4+24/120)×(7/20×11/2)=( (12+12)/60)/( (900+24)/120)×(7/20×11/2)=(240/60)/( 924/120)×7/20×11/2=( ( ( 1/720)/1440)/28800)/( 55440/( 7920/( 720/1)))×( 1/7)/( 20/1)×( 1/11)/( 2/1)=1
7) a)[ ( 2^3×( 1/2) ^3)/( 3^2×( 2/3) ^2 )]=[ (8×1/8)/(9×4/9)] ^2=[ ( 1/1)/4] ^2=[ 1/4]^2=1/16
b) [ ( ( 2/3) ^4×( 3/2) ^2)/(2×( 1/3) ^2 )]=[ ( ( 4/16)/( 81/9)×( 1/9)/( 4/1))/(2×1/9)]=[ ( 4/9)/( 2/9)] ^2=[ 36/18] ^2=1296/342=4
a) ( 2^0×2^(-1)×(-2) ^3)/( 2^(-2)×(-2) ^2×(-2) ^(-2))=(1×1/2×-8)/(1/2×4×2)=-4/4=-1
b)( (-5) ^3×(-8) ^3×(-9) ^2)/( 〖15〗^2×204)=(-125×-512×81)/(225×204)=( ( ( ( ( ( ( 192/960)/4800)/14400)/43200)/129600)/2502000)/5184000)/( 45900/( 22950/( 11475/(...
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