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МатематикаВопрос:
7.17 Найдите значение выражения:
Ответ:
a) 12/17 : (-1/7) + 5,88 : (-14,7) - 0,1 = -12/17 * 7 + 5,88/(-14,7) - 0,1 = -84/17 - 0,4 - 0,1 = -4,94 - 0,5 = -5,44.
б) (8 - 5 3/4) * 2 + (8 - 6 1/3) : 5/4 = (8 - 23/4) * 2 + (24/3 - 19/3) : 5/4 = (32/4 - 23/4) * 2 + 5/3 * 4/5 = 9/4 * 2 + 4/3 = 9/2 + 4/3 = 27/6 + 8/6 = 35/6.
в) 5,5 - 3 * (1 1/3 + 1 1/5) : 2 1/5 = 5,5 - 3 * (4/3 + 6/5) : 11/5 = 5,5 - 3 * (20/15 + 18/15) : 11/5 = 5,5 - 3 * 38/15 : 11/5 = 5,5 - 38/5 : 11/5 = 5,5 - 38/5 * 5/11 = 5,5 - 38/11 = 55/10 - 38/11 = 11/2 - 38/11 = 121/22 - 76/22 = 45/22.
г) 2 1/5 : 1 1/2 * 4/7 * (1 1/3)^3 = 11/5 : 3/2 * 4/7 * (4/3)^3 = 11/5 * 2/3 * 4/7 * 64/27 = 88/105 * 64/27 = 5632/2835.
д) 5/4 : 8/15 * 14/33 : (11/12) = 5/4 * 15/8 * 14/33 * 12/11 = 75/32 * 14/33 * 12/11 = 75/32 * (14*12)/(33*11) = 75/32 * 168/363 = 12600/11616 = 1050/968 = 525/484.
е) 2/7 * (3 1/2)^2 - 1/13 : 3/10 + 9/5 : 3/5 = 2/7 * (7/2)^2 - 1/13 * 10/3 + 9/5 * 5/3 = 2/7 * 49/4 - 10/39 + 3 = 7/2 - 10/39 + 3 = 3,5 - 0,256 - 3 = 0,244.
б) (8 - 5 3/4) * 2 + (8 - 6 1/3) : 5/4 = (8 - 23/4) * 2 + (24/3 - 19/3) : 5/4 = (32/4 - 23/4) * 2 + 5/3 * 4/5 = 9/4 * 2 + 4/3 = 9/2 + 4/3 = 27/6 + 8/6 = 35/6.
в) 5,5 - 3 * (1 1/3 + 1 1/5) : 2 1/5 = 5,5 - 3 * (4/3 + 6/5) : 11/5 = 5,5 - 3 * (20/15 + 18/15) : 11/5 = 5,5 - 3 * 38/15 : 11/5 = 5,5 - 38/5 : 11/5 = 5,5 - 38/5 * 5/11 = 5,5 - 38/11 = 55/10 - 38/11 = 11/2 - 38/11 = 121/22 - 76/22 = 45/22.
г) 2 1/5 : 1 1/2 * 4/7 * (1 1/3)^3 = 11/5 : 3/2 * 4/7 * (4/3)^3 = 11/5 * 2/3 * 4/7 * 64/27 = 88/105 * 64/27 = 5632/2835.
д) 5/4 : 8/15 * 14/33 : (11/12) = 5/4 * 15/8 * 14/33 * 12/11 = 75/32 * 14/33 * 12/11 = 75/32 * (14*12)/(33*11) = 75/32 * 168/363 = 12600/11616 = 1050/968 = 525/484.
е) 2/7 * (3 1/2)^2 - 1/13 : 3/10 + 9/5 : 3/5 = 2/7 * (7/2)^2 - 1/13 * 10/3 + 9/5 * 5/3 = 2/7 * 49/4 - 10/39 + 3 = 7/2 - 10/39 + 3 = 3,5 - 0,256 - 3 = 0,244.
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