Вычислите 4 2/5 / 1 1/2 — 2/5 + 3/4 + 5/6 / 4 3/4

вычислите 4 2/5 / ( 1 1/2 — 2/5 ) + (3/4 + 5/6 ) / 4 3/4

  • ответ:5 13/75
    …………………………
  • 4 2/5 / ( 1 1/2 — 2/5 ) + (3/4 + 5/6 ) / 4 3/4 = 22/5 : (3/2 — 2/5) + (3/4 + 5/6) : 19/4 = 22/5 : (15/10 — 4/10) + (9/12 + 10/12) : 19/4 = 22/5 : 11/10 + 19/12 : 19/4 = 22/5 * 10/11 + 19/12 * 4/19 = 2/1 * 2/1 + 1/3 * 1/1 = 4 + 1/3 = 12/3 + 1/3 = 13/3 = 4 1/3

    1) 1 1/2 — 2/5 = 3/2 — 2/5 = 15/10 — 4/10 = 11/10
    2) 3/4 + 5/6 = 9/12 + 10/12 = 19/12
    3) 4 2/5 : 11/10 = 22/5 : 11/10 = 22/5 * 10/11 = 2/1 * 2/1 = 4
    4) 19/12 : 4 3/4 = 19/12 : 19/4 = 19/12 * 4/19 = 1/3 * 1/1 = 1/3
    5) 4 + 1/3 = 12/3 + 1/3 = 13/3 = 4 1/3