Відповідь:

[tex]-\frac{1}{4}[/tex]

Покрокове пояснення:

[tex]-2*\frac{4}{9} :(-3\frac{5}{9})+(-1\frac{2}{15} -\frac{7}{12} ):3\frac{13}{30}\\ 1) \\-2*\frac{4}{9}=\frac{-2*4}{9} =-\frac{8}{9} \\2)\\-\frac{8}{9} :(-3\frac{5}{9})=-\frac{8}{9} :(-\frac{3*9+5}{9} )=-\frac{8}{9} :(-\frac{32}{9} )=\frac{8}{9} :\frac{32}{9} =\frac{8}{9} *\frac{9}{32}=\frac{8}{32} =\frac{1}{4} \\[/tex]

[tex]3)\\-1\frac{2}{15} -\frac{7}{12} =-\frac{15+2}{15} -\frac{7}{12} =-\frac{17}{15} -\frac{7}{12}=-(\frac{17}{15} +\frac{7}{12})=-(\frac{17*4}{15*4} +\frac{7*5}{12*5})=\\=-(\frac{68}{60} +\frac{35}{60})=-\frac{103}{60}\\4)\\ -\frac{103}{60}:3\frac{13}{30}= -\frac{103}{60}:\frac{3*30+13}{30}=-\frac{103}{60}:\frac{103}{30}=-\frac{103}{60}*\frac{30}{103}=-\frac{30}{60} =-\frac{1}{2} \\[/tex]

[tex]5)\\\frac{1}{4}+(-\frac{1}{2})= \frac{1}{4}-\frac{1}{2}=\frac{1}{4}-\frac{1*2}{2*2}=\frac{1}{4}-\frac{2}{4}=\frac{1-2}{4} =-\frac{1}{4}[/tex]

Ответ:

-1/4

Пошаговое объяснение:

1) -1. 2/15 - 7/12 = -1. 8/60 - 35/60 = -1. 43/60

2) -1. 43/60 : 3. 13/30 = -103/60 : 103/30 = -103/60 * 30/103 = -1/2 * 1/1 = -1/2

3) -2 * 4/9 = -8/9

4) -8/9 : (-3. 5/9) = -8/9 : (-32/9) = -8/9 * (-9/32) = -1/1 * (-1/4) = 1/4

5) 1/4 + (-1/2) = 1/4 - 1/2 = 1/4 - 2/4 = -1/4