Математика 6 класс учебник Виленкин, Жохов 1 часть ответы – номер 2.463

а) 4/5 : 1 1/3 + 2 1/3 · 3/7 − 1 ∶ 1 3/8 = 48/55 1) 4/5 : 1 1/3 = 4/5 : 4/3 = 4/5 · 3/4 = ̶4̶ · 3/5 · ̶4̶ = 3/5 2) 2 1/3 · 3/7 = 7/3 · 3/7 = 1 3) 1 ∶ 1 3/8 = 1 ∶ 11/8 = 1 · 8/11 = 8/11 4) 3/5 + 1 = 1 3/5 5) 1 3⁽¹¹/5 − 8⁽⁵/11 = 1 33/55 − 45/55 = 88/55 − 40/55 = 48/55

б) 2 1/6 : (1 1/15 − 1/5) + (2 1/8 + 3/4) : 5 3/4 = 3 1) 1 1/15 − 1⁽³/5 = 16/15 − 3/15 = 13/15 2) 2 1/8 + 3⁽²/4 = 2 1/8 + 6/8 = 2 7/8 3) 2 1/6 : 13/15 = 13/6 · 15/13 = ̶1̶3̶ · ̶1̶5̶⁵/₂ ̶6̶ · ̶1̶3̶ = 5/2 = 2 1/2 4) 2 7/8 : 5 3/4 = 23/8 : 23/4 = 23/8 · 4/23 = ̶2̶3̶ · 4/8 · ̶2̶3̶ = 4/8 = 1/2 5) 2 1/2 + 1/2 = 2 2/2 = 2 + 1 = 3

в) (1/4 + 1 11/14) · 14/57 − 2/3 : 1 1/6 · 7/32 = 3/8 1) 1⁽⁷/4 + 1 11⁽²/14 = 7/28 + 1 22/28 = 1 29/28 = 1 + 1 1/28 = 2 1/28 2) 2 1/28 · 14/57 = 57/28 · 14/57 = ̶5̶7̶ · ̶1̶4̶¹/₂ ̶2̶8̶ · ̶5̶7̶ = 1/2 3) 2/3 : 1 11/6 · 7/32 = 2/3 : 7/6 · 7/32 = 2/3 · 6/7 · 7/32 = ¹̶2̶ · ̶6̶² · ̶7̶/̶3̶ ₁ · ̶7̶ · ̶3̶2̶ ₁₆ = 2/16 = 1/8 4) 1⁽⁴/2 − 1/8 = 4/8 − 1/8 = 3/8

г) (2 1/2 : 3 1/3 + 3 1/3 : 2 1/2) · 9 3/5 = 20 1) 2 1/2 : 3 1/3 = 5/2 : 10/3 = 5/2 · 3/10 = 15/20 = 3/4 2) 3 1/3 : 2 1/2 = 10/3 : 5/2 = 10/3 · 2/5 = 20/15 = 4/3 = 1 1/3 3) 3⁽³/4 + 1 1⁽⁴/3 = 9/12 + 1 4/12 = 1 13/12 = 1 + 1 1/12 = 2 1/12 4) 2 1/12 · 9 3/5 = 25/12 · 48/5 = ⁵25 · 48⁴/₁12 · 5₁ = 5 · 4 = 20

д) (10 5/13 − 7 23/26) : 5/6 = 3 1) 10 5⁽²/13 − 7 23/26 = 10 10/26 − 7 23/26 = 9 36/26 − 7 23/26 = 2 13/26 = 2 1/2 2) 2 1/2 : 5/6 = 5/2 · 6/5 = ̶5̶ · ̶6̶³/₁ ̶2̶ · ̶5̶ = 3

е) ((1 1/2)³ − 3/4) : 7/8 = 3 1) (1 1/2)³ = (3/2)³ = 3/2 · 3/2 · 3/2 = 27/8 = 3 3/8 2) 3 3/8 − 3⁽²/4 = 2 11/8 − 6/8 = 2 5/8 3) 2 5/8 : 7/8 = 21/8 · 8/7 = ³̶2̶1̶ · ̶8̶/̶8̶ · ̶7̶ ₁ = 3