Вычислите 5/6 + (2 - 1 23/35):9/25-1 2/7 срочно по действиям пж. Created by SashaDays090. matematika-ru

7 срочно по действиям пж...

maymr

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5/6 + (2 - 1 23/35) : 9/25 - 1 2/7 = 0,5

1) 2 - 1 23/35 = 1 35/35 - 1 23/35 = 12/35

2) 12/35 : 9/25 = 12/35 * 25/9 = 20/21

3) 5/6 + 20/21 = 35/42 + 40/42 = (35+40)/42 = 75/42 = 1 11/14

4) 1 11/14 - 1 2/7 = 1 11/14 - 1 4/14 = 7/14 = 1/2 = 0,5

Ответ: 0,5

46 votes Thanks 74

lilyatomach

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Ответ:

0,5

Пошаговое объяснение:

$\frac{5}{6} +(2-1\frac{23}{35} ):\frac{9}{25} -1\frac{2}{7} =\frac{1}{2} \\\\1) 2-1\frac{23}{35} =1\frac{35}{35} -1\frac{23}{35}= \frac{12}{35} ;\\\\2) \frac{12}{35} :\frac{9}{25} =\frac{12}{35}* \frac{25}{9} = \frac{12*25}{35*9} =\frac{4*5}{7*3} = \frac{20}{21} ;\\\\3)\frac{5}{6} +\frac{20}{21} =\frac{35}{42} +\frac{40}{42} =\frac{75}{42} =1\frac{33}{42} =1\frac{11}{14} ;\\\\4) 1\frac{11}{14} -1\frac{2}{7} =1\frac{11}{14}-1 \frac{4}{14} = \frac{7}{14} =\frac{1}{2} .$

23 votes Thanks 33

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