решите уравнения : а) х + 11/43 = 9/12; б) 21/34 - у = 16/51; в) 21/78 - а = 4/39; г) х + 36/155 = 45/62; д) 77/89 + у = 173/178; е) 19/21 - а = 14/210
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х = 45/62 - 36/155 (к общ.знаменателю)
х = 45/62 * 5 + 16/155 * 2 = 225/310 - 72/310 = 153/310
х = 153/310
Проверка:
153/310 + 36/155 = 153/310 + 36/155 * 2 = 153/310 + 72/310 = 225/310(сокр. дробь)
225/310 : 5 = 45/62
д) 77/89 + у = 173/178
у = 173/178 - 77/89 (к общ.знаменателю)
у= 173/178 * 2 - 77/89 * 4 = 346/356 - 308/356 = 38/356(сокр.дробь)
38/356 : 2 = 19/178
у = 19/178
Поверка:
77/89 + 19/178 = 77//89 * 2 + 19/178 = 154/178 + 19/178 = 173/178
е) 19/21- а = 14/210
а = 19/21 - 14/210 (к общ.знаменателю)
а = 19/21 * 10 - 14/210 = 190/210 - 14/210 = 176/210
а = 176/210
Проверка:
19/21 - 176/210 = 19/21 * 10 - 176/210 = 190/210 - 176/210 = 14/210 (можно сократить)
14/210 : 14 = 1/15