Simplifique as frações a seguir pelo processo de mdc.
35/140 129/215 128/1024 200/240 606/808 250/ 875
Preciso essa resposta rápido.
Soluções para a tarefa
As frações simplificadas são 1/4, 3/5, 1/8, 5/6, 3/4 e 2/7.
Fazendo os MDC teremos:
35,140\2
35,70\2
35,35\5
7,7\7
1,1
MDC(35,140) = 5 . 7 = 35
35/140 = 1/4
129,215\3
43,215\5
43,43\43
1,1
MDC(129,215) = 43
129/215 = 3/5
128,1024\2
64,512\2
32,256\2
16,128\2
8,64\2
4,32\2
2,16\2
1,8\2
1,4\2
1,2\2
1,1
MDC(128/1024) = 2^7 = 128
128/1024 = 1/8
200,240\2
100,120\2
50,60\2
25,30\2
25,15\3
25,5\5
5,1\5
1,1
MDC(200,240) = 2 . 2 . 2 . 5 = 40
200/240 = 5/6
606,808\2
303,404\2
303,202\2
303,101\3
101,101\101
1,1
MDC(606,808) = 2 . 101 = 202
606/808 = 3/4
250,875\2
125,875\5
25,175\5
5,35\5
1,7\7
1,1
MDC(250,875) = 5 . 5 . 5 = 125
250/875 = 2/7
Bons estudos!
Resposta:As frações simplificadas são 1/4, 3/5, 1/8, 5/6, 3/4 e 2/7.
Explicação passo-a-passo:
Fazendo os MDC teremos:
35,140\2
35,70\2
35,35\5
7,7\7
1,1
MDC(35,140) = 5 . 7 = 35
35/140 = 1/4
129,215\3
43,215\5
43,43\43
1,1
MDC(129,215) = 43
129/215 = 3/5
128,1024\2
64,512\2
32,256\2
16,128\2
8,64\2
4,32\2
2,16\2
1,8\2
1,4\2
1,2\2
1,1
MDC(128/1024) = 2^7 = 128
128/1024 = 1/8
200,240\2
100,120\2
50,60\2
25,30\2
25,15\3
25,5\5
5,1\5
1,1
MDC(200,240) = 2 . 2 . 2 . 5 = 40
200/240 = 5/6
606,808\2
303,404\2
303,202\2
303,101\3
101,101\101
1,1
MDC(606,808) = 2 . 101 = 202
606/808 = 3/4
250,875\2
125,875\5
25,175\5
5,35\5
1,7\7
1,1
MDC(250,875) = 5 . 5 . 5 = 125
250/875 = 2/7
bons estudos! espero ter ajudado!