• Разделите число 196 на части в отношении 3:7:11 1:2:4 1/3:1/4:3 5:7,5:15,5

Ответы 1

  • 1) (Число делим на части и умножаем поочередно на каждую из частей) 196/(3 + 7 + 11) * 3 = 196/21 * 3 = (196 * 3)/21 = (196 * 1)/7 = 28, 196/(3 + 7 + 11) * 7 = 196/21 * 7 = (196 * 7)/21 = (196 * 1)/3 = 65 1/3, 196/(3 + 7 + 11) * 11 = 196/21 * 11 = (196 * 11)/21 = 2 156/21 = 102 14/21 = 102 2/3; 2) 196/(1 + 2 + 4) * 1 = 196/7 * 1 = 28 , 196/(1 + 2 + 4) * 2 = 196/7 * 2 = (196 * 2)/7 = (28 * 2)/1 = 56, 196/(1 + 2 + 4) * 4 = 196/7 * 4 = (196 * 4)/7 = (28 * 4)/1 = 112; 3) 196/(1/3 + 1/4 + 3) * 1/3 = 196/(4/12 + 3/12 + 3) * 1/3 = 196/3 7/12 * 1/3 = 196 : 43/12 * 1/3 = 196 * 12/43 * 1/3 = (196 * 12 * 1)/(43 * 3) = 2 352/129 = 18 30/129; 196/(1/3 + 1/4 + 3) * 1/4 = 196/(4/12 + 3/12 + 3) * 1/4 = 196/3 7/12 * 1/4= 196 : 43/12 * 1/4 = 196 * 12/43 * 1/4 = (196 * 12 * 1)/(43 * 4) = (196 * 3* 1)/(43 * 1) = 588/43 = 13 29/43; 196/(1/3 + 1/4 + 3) * 3 = 196/(4/12 + 3/12 + 3) * 3 = 196/3 7/12 * 3 = 196 : 43/12 * 3 = 196 * 12/43 * 3 = (196 * 12 * 3)/43 = 7056/43 = 164 4/434 4) 196/(5 + 7,5 + 15,5) * 5 = 196/28 * 5 = (196 * 5)/28 = (7 * 5)/1 = 35, 196/(5 + 7,5 + 15,5) * 7,5 = 196/28 * 7,5 = (196 * 7,5)/28 = (7 * 7,5)/1 = 52,5; 196/(5 + 7,5 + 15,5) * 15,5 = 196/28 * 15,5 = (196 * 15,5)/28 = (7 * 15,5)/1 = 108,5.
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