2 1 /52* 26 /49-11 5/11:3 3/7 Пожалуйста решите очень надо Даю 43 балла. Created by milakasper12. matematika-ru

7 Пожалуйста решите очень надо Даю 43 балла...

maymr

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2 1/52 * 26/49 - 11 5/11 : 3 3/7 = -2 83/308

1) 2 1/52 * 26/49 = (2*52+1)/52 * 26/49 = 105/52 * 26/49 = 2730/2548 = 15/14 = 1 1/14

2) 11 5/11 : 3 3/7 = (11*11+5)/11 : (3*7+3)/7 = 126/11 : 24/7 = 126/11 * 7/24 = 882/264 = 147/44 = 3 15/44

3) 1 1/14 - 3 15/44 = 15/14 - 147/44 = (15*44)/(14*44) - (147*14)/(44*14) = 660/616 - 2058/616 = (660-2058)/616 = -1398/616 = -699/308 = -2 83/308

Ответ: -2 83/308

2 votes Thanks 4

lilyatomach

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Пошаговое объяснение:

$\frac{21}{52} *\frac{26}{49} - 11\frac{5}{11} :3\frac{3}{7} =\frac{21*26}{52*49} -\frac{126}{11} :\frac{24}{7} =\frac{3*1}{2*7} -\frac{126*7}{11*24} =\frac{3}{14} -\frac{21*7}{11*4} =\\\\\frac{3}{14} -\frac{147}{44} =\frac{3}{14} -3\frac{15}{44} =- ( 3\frac{15}{44}-\frac{3}{14} )= -( 3\frac{105}{308} -\frac{66}{308} ) =- 3\frac{39}{308}$

2 votes Thanks 1

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