Odpowiedź:
Szczegółowe wyjaśnienie:
a)
[tex]1\frac{7}{8} * (-6) = \frac{15}{8} * (-6) = -\frac{15 * 6}{8} = -\frac{90}{8} = -\frac{45}{4} =-11\frac{1}{4}[/tex]
b)
[tex]-1\frac{1}{5} * 2\frac{1}{2} = -\frac{6}{5} * \frac{5}{2} = -\frac{6*5}{5*2} = -\frac{30}{10} = -3[/tex]
c)
[tex]-1\frac{3}{4} : 8 = -\frac{7}{4} * \frac{1}{8} = -\frac{7}{8*4} = -\frac{7}{32}[/tex]
d)
[tex]1\frac{1}{3} * 0,5 = \frac{4}{3} * \frac{1}{2} = \frac{4}{3*2} = \frac{2}{3}[/tex]
e)
[tex]5,25 : (-1\frac{1}{2}) = 5\frac{25}{100} : (-\frac{3}{2}) = \frac{525}{100} : (-\frac{3}{2}) = \frac{21}{4} *( -\frac{2}{3}) = -\frac{21 * 2}{4 * 3} = -\frac{7}{2} = -3\frac{1}{2}[/tex]
f)
[tex]-1,5 : (-2\frac{1}{3} ) = -1\frac{5}{10} : (-\frac{7}{3} ) = -\frac{15}{10} * (-\frac{3}{7} ) = \frac{15 * 3}{10 * 7} = \frac{45}{70} = \frac{9}{14}[/tex]
g)
[tex]-1\frac{3}{4} + 7\frac{1}{5} = -\frac{7}{4} + \frac{36}{5} = -\frac{35}{20} + \frac{144}{20} = \frac{109}{20} = 5\frac{9}{20}[/tex]
h)
[tex]-2\frac{3}{8} - \frac{1}{12} = -\frac{19}{8} - \frac{1}{12} = -\frac{57}{24} - \frac{2}{24} = - \frac{59}{24} = -2\frac{11}{24}[/tex]
i)
[tex]-3,7 + 4,5 = 0,8\\-3,7 + 4,5 = - 3\frac{7}{10} + 4\frac{5}{10} = - \frac{37}{10} + \frac{45}{10} = \frac{8}{10} = \frac{4}{5}[/tex]
j)
[tex]-13,1 - 2,5 = - 15,6\\-13,1 - 2,5 = -13\frac{1}{10} -2\frac{5}{10} = -\frac{131}{10} -\frac{25}{10} = -\frac{156}{10} = -15\frac{6}{10} = -15\frac{3}{5}[/tex]
k)
[tex]17,21 - 20,03 = - 2,82\\17,21 - 20,03 = 17\frac{21}{100} - 20\frac{3}{100} = \frac{1721}{100} - \frac{2003}{100} = -\frac{282}{100} = -\frac{141}{50} = -2\frac{41}{50}[/tex]
l)
[tex]12,5 + 3,75 = 16,25\\12,5 + 3,75 = 12\frac{5}{10} + 3\frac{75}{100} = \frac{125}{10} + \frac{375}{100} = \frac{1250}{100} + \frac{375}{100} = \frac{1625}{100} = 16\frac{25}{100} = 16\frac{1}{4}[/tex]
m)
[tex]-0,82 * (-0,3) = 0,246\\-0,82 * (-0,3) = -\frac{82}{100} * ( -\frac{3}{10}) = \frac{246}{1000} = \frac{123}{500}[/tex]
n)
[tex]0,7 * (-0,92) = -0,644\\0,7 * (-0,92) = \frac{7}{10} * (-\frac{92}{100}) = -\frac{644}{1000} = -\frac{161}{250}[/tex]
o)
[tex]-0,75 -1\frac{2}{3} = -\frac{75}{100} -\frac{5}{3} = -\frac{3}{4} -\frac{5}{3} = -\frac{9}{12} -\frac{20}{12} = -\frac{29}{12} = -2\frac{5}{12}[/tex]
