Resolva as seguintes expressões;
(1/4 +1/8)×[(1/5 -1/7) + (2/3 + 1/5)] ÷[(3/5 - 2/7 )×( 3/4 + 3/8 ) - (1/7 + 1/8)]
eduardodiamante:
por gentileza preciso dos detalhes.
Realmente o resultado é 97/44. Só não consigo editar
Soluções para a tarefa
Respondido por
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(1/4 +1/8)×[(1/5 -1/7) + (2/3 + 1/5)] ÷[(3/5 - 2/7 )×( 3/4 + 3/8 ) - (1/7 + 1/8)] =
(2/8 + 1/8) * [(7/35 - 5/35) + (10/15 + 3/15)] : [(21/35 - 10/35) * (6/8 + 3/8) - (8/56 + 7/56)] =
(3/8) * [2/35 + 13/15] : [(11/35) * (9/8) - 15/56] =
(3/8) * (3*2/105 + 7*13/105) : [(99/280) * (9/8) - 15/56] =
(3/8) * (6/105 + 91/105) : (891/2240 - 15/56) =
(3/8) * (97/105) : (891/2240 - 40*15/2240) =
(291/840) : (891/2240 - 600/2240) =
(291/840) : (291/2240) =
(291/840) * (2240/291) =
2240/840 =
8/3
(2/8 + 1/8) * [(7/35 - 5/35) + (10/15 + 3/15)] : [(21/35 - 10/35) * (6/8 + 3/8) - (8/56 + 7/56)] =
(3/8) * [2/35 + 13/15] : [(11/35) * (9/8) - 15/56] =
(3/8) * (3*2/105 + 7*13/105) : [(99/280) * (9/8) - 15/56] =
(3/8) * (6/105 + 91/105) : (891/2240 - 15/56) =
(3/8) * (97/105) : (891/2240 - 40*15/2240) =
(291/840) : (891/2240 - 600/2240) =
(291/840) : (291/2240) =
(291/840) * (2240/291) =
2240/840 =
8/3
vou refazer pra tira duvidas
(3/8) * (3*2/105 + 7*13/105) : [(99/280) - 15/56] =
(3/8) * (6/105 + 91/105) : (99/280 - 15*5/280) =
(3/8) * (97/105) : (99/280 - 75/280) =
291/840 : 24/280 =
291/840 : 3/35 =
291/840 * 35/3 =
97*35/168 =
97*7/168 =
97/24
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