Математика 6 класс учебник Виленкин, Жохов 1 часть ответы – номер 2.427

а) 2 1/7 · (2 1/4 : 3 6/7) = 2 1/7 · (9/4 : 27/7) = 2 1/7 · (9/4 · 7/27) = 2 1/7 · ¹̶9̶ · 7/4 · ̶2̶7̶ ₃ = 15/7 · 7/12 = ⁵̶1̶5̶ · ̶7̶/̶7̶ · ̶1̶2̶ ₄ = 5/4 = 1 1/4

б) (1 2/9 + 1 5/9) · 1 4/5 = 2 7/9 · 1 4/5 = 25/9 · 9/5 = ⁵̶2̶5̶ · ̶9̶/̶9̶ · ̶5̶ ₁ = 5

в) (7 1/3 − 5 1/6) : 3 1/3 = 13/20 1) 7 1⁽²/3 − 5 1/6 = 7 2/6 − 5 1/6 = 2 1/6 2) 2 1/6 : 3 1/3 = 13/6 : 10/3 = 13/6 · 3/10 = 13 · ̶3̶¹/₂ ̶6̶ · 10 = 13/20

г) (2 2/15 − 1 2/5) · 6 1/4 = 4 7/12 1) 2 2/15 − 1 2⁽³/5 = 2 2/15 − 1 6/15 = 1 17/15 − 1 6/15 = 11/15 2) 11/15 · 6 1/4 = 11/15 · 25/4 = 11 · ̶2̶5̶⁵/₃ ̶1̶5̶ · 4 = 55/12 = 4 7/12

д) (2 2/3 + 1 5/6) : 4 1/2 = 1 1) 2 2⁽²/3 + 1 5/6 = 2 4/6 + 1 5/6 = 3 9/6 = 3 3/2 = 3 + 1 1/2 = 4 1/2 2) 4 1/2 : 4 1/2 = 1

е) (7 1/8 − 6 3/5) : 4 1/5 = 1/8 1) 7 1⁽⁵/8 − 6 3⁽⁸/5 = 7 5/40 − 6 24/40 = 6 45/40 − 6 24/40 = 21/40 2) 21/40 : 4 1/5 = 21/40 : 21/5 = 21/40 · 5/21 = ̶2̶1̶ · ̶5̶¹/₈ ̶4̶0̶ · ̶2̶1̶ = 1/8