5/85
Oblicz wartość wyrażeń :
a) (-2,5) : 12/3 -1,4 =
b) 12/5 * (-13/7) + 1/3 * [1+6:(-18)]=
c) 2,6-1/4 : [2-(1,75)] =
d) [-2/3-(-1,8):(-11/5)]:(-1/27) =
12/3 to jeden i dwie tzecie itp. ;)
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a) (-2,5):1i2/3 -1,4= (-2i1/2) : 5/3 -1i4/10= (-5/2)*3/5 -1i4/10= (-1/2) *3/1 -1i4/10=
= -3/2 -1i4/10= -1i1/2 -1i4/10= -1i 5/10 -1i4/10= -2 i9/10
b) 1i2/5 *(-1i3/7) +1/3*[1+6:(-18)] = 7/5 *(-10/7) +1/3 *[1 -6/18]= 1/1*(-2/1)+1/3*
*[18/18 -6/18] = -2 +1/3* 12/18= -2 +1/1 *4/18= -2+4/18= -1i18/18 + 4/18 =
= -1 i14/18 = -1 i 7/9
c) 2,6 -1/4 :[2-(1,75)]= 2,6 -0,25 :[0,25]= 2,6 -1 = 1,6
d) [-2/3-(-1,8):(-1i1/5)]: (-1/27)= [-2/3 -(-1i4/5) : (-1i1/5)] :(-1/27)=
=[-2/3-(-9/5):(-6/5)]:(-1/27)=[-2/3-(-9/5*(-5/6)]:(-1/27=[-2/3-(-3/1)*(-1/2)]:
:(-1/27)= [-2/3 -3/2]:(- 1/27)= [-4/6- 9/6] :(-1/27) = [-13/6 ]* (-27/1) =
= [-13/2] * (-9/1)= 117/2
a)
![1\frac{2}{5} * (-1\frac{3}{7}) + \frac{1}{3} * [1+6:(-18)]=\\\\ =\frac{7}{5} * (-\frac{10}{7}) + \frac{1}{3} * [1+6*(-\frac{1}{18})]=\\\\ =(-\frac{10}{5}) + \frac{1}{3} * [1+(-\frac{1}{3})]=\\\\ =(-2) + \frac{1}{3} * \frac{2}{3}=\\\\ =(-2) + \frac{2}{9} =\\\\=-1\frac{7}{9} 1\frac{2}{5} * (-1\frac{3}{7}) + \frac{1}{3} * [1+6:(-18)]=\\\\ =\frac{7}{5} * (-\frac{10}{7}) + \frac{1}{3} * [1+6*(-\frac{1}{18})]=\\\\ =(-\frac{10}{5}) + \frac{1}{3} * [1+(-\frac{1}{3})]=\\\\ =(-2) + \frac{1}{3} * \frac{2}{3}=\\\\ =(-2) + \frac{2}{9} =\\\\=-1\frac{7}{9}](https://tex.z-dn.net/?f=1%5Cfrac%7B2%7D%7B5%7D+%2A+%28-1%5Cfrac%7B3%7D%7B7%7D%29+%2B+%5Cfrac%7B1%7D%7B3%7D+%2A+%5B1%2B6%3A%28-18%29%5D%3D%5C%5C%5C%5C+%3D%5Cfrac%7B7%7D%7B5%7D+%2A+%28-%5Cfrac%7B10%7D%7B7%7D%29+%2B+%5Cfrac%7B1%7D%7B3%7D+%2A+%5B1%2B6%2A%28-%5Cfrac%7B1%7D%7B18%7D%29%5D%3D%5C%5C%5C%5C+%3D%28-%5Cfrac%7B10%7D%7B5%7D%29+%2B+%5Cfrac%7B1%7D%7B3%7D+%2A+%5B1%2B%28-%5Cfrac%7B1%7D%7B3%7D%29%5D%3D%5C%5C%5C%5C+%3D%28-2%29+%2B+%5Cfrac%7B1%7D%7B3%7D+%2A+%5Cfrac%7B2%7D%7B3%7D%3D%5C%5C%5C%5C+%3D%28-2%29+%2B+%5Cfrac%7B2%7D%7B9%7D+%3D%5C%5C%5C%5C%3D-1%5Cfrac%7B7%7D%7B9%7D)
![2,6-\frac{1}{4} : [2-(1,75)] =\\\\ = 2,6-\frac{1}{4} : [0,25] =\\\\ = 2,6-\frac{1}{4} : \frac{1}{4}=\\\\ = 2,6-\frac{1}{4} *\frac{4}{1}=\\\\=2,6-1=1,6 2,6-\frac{1}{4} : [2-(1,75)] =\\\\ = 2,6-\frac{1}{4} : [0,25] =\\\\ = 2,6-\frac{1}{4} : \frac{1}{4}=\\\\ = 2,6-\frac{1}{4} *\frac{4}{1}=\\\\=2,6-1=1,6](https://tex.z-dn.net/?f=+2%2C6-%5Cfrac%7B1%7D%7B4%7D+%3A+%5B2-%281%2C75%29%5D+%3D%5C%5C%5C%5C+%3D+2%2C6-%5Cfrac%7B1%7D%7B4%7D+%3A+%5B0%2C25%5D+%3D%5C%5C%5C%5C+%3D+2%2C6-%5Cfrac%7B1%7D%7B4%7D+%3A+%5Cfrac%7B1%7D%7B4%7D%3D%5C%5C%5C%5C+%3D+2%2C6-%5Cfrac%7B1%7D%7B4%7D+%2A%5Cfrac%7B4%7D%7B1%7D%3D%5C%5C%5C%5C%3D2%2C6-1%3D1%2C6)
![[-\frac{2}{3}-(-1,8):(-1\frac{1}{5})]:(-\frac{1}{27}) =\\\\ =[-\frac{2}{3}-(-\frac{18}{10})*(-\frac{5}{6})]:(-\frac{1}{27}) =\\\\ =[-\frac{2}{3}-\frac{3*1}{2*1}]:(-\frac{1}{27}) =\\\\ =[-\frac{2*2}{3*2}-\frac{3*3}{2*3}]:(-\frac{1}{27}) =\\\\ =[-\frac{4}{6}-\frac{9}{6}]:(-\frac{1}{27}) =\\\\ =-\frac{13}{6}*(-\frac{27}{1}) =\\\\ =\frac{351}{6}=58\frac{3}{6}=58\frac{1}{2} [-\frac{2}{3}-(-1,8):(-1\frac{1}{5})]:(-\frac{1}{27}) =\\\\ =[-\frac{2}{3}-(-\frac{18}{10})*(-\frac{5}{6})]:(-\frac{1}{27}) =\\\\ =[-\frac{2}{3}-\frac{3*1}{2*1}]:(-\frac{1}{27}) =\\\\ =[-\frac{2*2}{3*2}-\frac{3*3}{2*3}]:(-\frac{1}{27}) =\\\\ =[-\frac{4}{6}-\frac{9}{6}]:(-\frac{1}{27}) =\\\\ =-\frac{13}{6}*(-\frac{27}{1}) =\\\\ =\frac{351}{6}=58\frac{3}{6}=58\frac{1}{2}](https://tex.z-dn.net/?f=%5B-%5Cfrac%7B2%7D%7B3%7D-%28-1%2C8%29%3A%28-1%5Cfrac%7B1%7D%7B5%7D%29%5D%3A%28-%5Cfrac%7B1%7D%7B27%7D%29+%3D%5C%5C%5C%5C+%3D%5B-%5Cfrac%7B2%7D%7B3%7D-%28-%5Cfrac%7B18%7D%7B10%7D%29%2A%28-%5Cfrac%7B5%7D%7B6%7D%29%5D%3A%28-%5Cfrac%7B1%7D%7B27%7D%29+%3D%5C%5C%5C%5C+%3D%5B-%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B3%2A1%7D%7B2%2A1%7D%5D%3A%28-%5Cfrac%7B1%7D%7B27%7D%29+%3D%5C%5C%5C%5C+%3D%5B-%5Cfrac%7B2%2A2%7D%7B3%2A2%7D-%5Cfrac%7B3%2A3%7D%7B2%2A3%7D%5D%3A%28-%5Cfrac%7B1%7D%7B27%7D%29+%3D%5C%5C%5C%5C+%3D%5B-%5Cfrac%7B4%7D%7B6%7D-%5Cfrac%7B9%7D%7B6%7D%5D%3A%28-%5Cfrac%7B1%7D%7B27%7D%29+%3D%5C%5C%5C%5C+%3D-%5Cfrac%7B13%7D%7B6%7D%2A%28-%5Cfrac%7B27%7D%7B1%7D%29+%3D%5C%5C%5C%5C+%3D%5Cfrac%7B351%7D%7B6%7D%3D58%5Cfrac%7B3%7D%7B6%7D%3D58%5Cfrac%7B1%7D%7B2%7D)
b)
c)
d)