• найдите значение выражения 3 5\6* 5\6+2 7\11*5\6 2/3*3 2/7+2/3*2 5/7 вычислить 1) 3/4*1 3/5+1 3/5*1 3/8-1 1/2*1 3/5=

Ответы 1

  • 1) 3 5/6 * 5/6+2 7/11 * 5/6 = 5/6 * (3 5/6 + 2 7/11) = 5/6 * (23/6 + 29/11) = 5/6 * (253/66 + 174/66) = 5/6 * (253 + 174)/66 = 5/6 * 427/66 = (5 * 427)/(6 * 66) = 2135/396 = 5 155/396Ответ: 5 155/3962) 2/3 * 3 2/7 + 2/3 * 2 5/7 = 2/3 * (3 2/7 + 2 5/7) = 2/3 * (23/7 + 19/7) = 2/3 * (23 + 19)/7 = 2/3 * 42/7 = 2/3 * 6 = 2 * 6/3 = 2 * 2 = 4Ответ: 43) 3/4 * 1 3/5 + 1 3/5 * 1 3/8 - 1 1/2 * 1 3/5 = 1 3/5 * (3/4 + 1 3/8 - 1 1/2) = 8/5 * (3/4 + 11/8 - 3/2) = 8/5 * (6/8 + 11/8 - 12/8) = 8/5 * (6 + 11 - 12)/8 = 8/5 * (17 - 12)/8 = 8/5 * 5/8 = 5/5 * 8/8 = 1 * 1 = 1Ответ: 14) 14/5 * 3/7 - 14/27 * 5/7 + 14/27 * 3 = 14/5 * 3/7 + 14/27 * (- 5/7 + 3) = 14/5 * 3/7 + 14/27 * (- 5/7 + 21/7) = 14/5 * 3/7 + 14/27 * (-5 + 21)/7 = 14/5 * 3/7 + 14/27 * (21 - 5)/7 = 14/5 * 3/7 + 14/27 * 16/7 = 3/5 * 14/7 + 16/27 * 14/7 = 3/5 * 2 + 16/27 * 2 = 2 * (3/5 + 16/27) = 2 * (81/135 + 80/135) = 2 * (81 + 80)/135 = 2 * 161/135 = 322/135 = 2 52/135Ответ: 2 52/1355) 10 5/6 * 2 11/15 + 10 5/6 * 6 - 8 11/15 * 10 5/6 = 10 5/6 * (2 11/15 + 6 - 8 11/15) = 10 5/6 * (-(8 11/15 - 2 11/15) + 6) = 10 5/6 * (-6 + 6) = 10 5/6 * (6 - 6) = 10 5/6 * 0 = 0Ответ: 06) 12 1/7 * 25 + 25 * 1 4/25 - 25 * 12 1/7 = 25 * (12 1/17 + 1 4/25 - 12 1/17) = 25 * (12 1/17 - 12 1/17 + 1 4/25) = 25 * (0 + 1 4/25) = 25 * 1 4/25 = 25 * 29/25 = 29 * 25/25 = 29 * 1 = 29Ответ: 29
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