Resposta:
a) 2/3 + 1/8
m.m.c(3, 8) = 24
2/3 = 16/24
1/8 = 3/24
16/24 + 3/24 = 19/24
Portanto, 2/3 + 1/8 = 19/24
b) 8/7 + 5/5
m.m.c(7, 5) = 35
8/7 = 40/35
5/5 = 7/35
40/35 + 7/35 = 47/35
Simplificando por 5, temos:
47/35 = 9/7
Portanto, 8/7 + 5/5 = 9/7
c) 5/4 - 10/9
m.m.c(4, 9) = 36
5/4 = 45/36
10/9 = 40/36
45/36 - 40/36 = 5/36
Portanto, 5/4 - 10/9 = 5/36
d) 7/12 + 14/5
m.m.c(12, 5) = 60
7/12 = 35/60
14/5 = 168/60
35/60 + 168/60 = 203/60
Simplificando por 4, temos:
203/60 = 50,75/15
Portanto, 7/12 + 14/5 = 50,75/15
e) 9/35 . 10/3
9/35 . 10/3 = 90/105 . 35/3
Simplificando 90/105, temos:
90/105 = 6/7
6/7 . 35/3 = 30/7
Portanto, 9/35 . 10/3 = 30/7
f) 69/70 . 3/2
69/70 . 3/2 = 207/140
Simplificando por 7, temos:
207/140 = 3/2
Portanto, 69/70 . 3/2 = 3/2
g) 6/8 ÷ 35/21
6/8 ÷ 35/21 = 6/8 x 21/35
21/35 = 3/5
6/8 x 3/5 = 9/20
Portanto, 6/8 ÷ 35/21 = 9/20
h) 35/9 ÷ 12/3
35/9 ÷ 12/3 = 35/9 x 3/12
Simplificando por 3, temos:
3/12 = 1/4
35/9 x 1/4 = 35/36
Portanto, 35/9 ÷ 12/3 = 35/36
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Resposta:
a) 2/3 + 1/8
m.m.c(3, 8) = 24
2/3 = 16/24
1/8 = 3/24
16/24 + 3/24 = 19/24
Portanto, 2/3 + 1/8 = 19/24
b) 8/7 + 5/5
m.m.c(7, 5) = 35
8/7 = 40/35
5/5 = 7/35
40/35 + 7/35 = 47/35
Simplificando por 5, temos:
47/35 = 9/7
Portanto, 8/7 + 5/5 = 9/7
c) 5/4 - 10/9
m.m.c(4, 9) = 36
5/4 = 45/36
10/9 = 40/36
45/36 - 40/36 = 5/36
Portanto, 5/4 - 10/9 = 5/36
d) 7/12 + 14/5
m.m.c(12, 5) = 60
7/12 = 35/60
14/5 = 168/60
35/60 + 168/60 = 203/60
Simplificando por 4, temos:
203/60 = 50,75/15
Portanto, 7/12 + 14/5 = 50,75/15
e) 9/35 . 10/3
9/35 . 10/3 = 90/105 . 35/3
Simplificando 90/105, temos:
90/105 = 6/7
6/7 . 35/3 = 30/7
Portanto, 9/35 . 10/3 = 30/7
f) 69/70 . 3/2
69/70 . 3/2 = 207/140
Simplificando por 7, temos:
207/140 = 3/2
Portanto, 69/70 . 3/2 = 3/2
g) 6/8 ÷ 35/21
6/8 ÷ 35/21 = 6/8 x 21/35
Simplificando por 7, temos:
21/35 = 3/5
6/8 x 3/5 = 9/20
Portanto, 6/8 ÷ 35/21 = 9/20
h) 35/9 ÷ 12/3
35/9 ÷ 12/3 = 35/9 x 3/12
Simplificando por 3, temos:
3/12 = 1/4
35/9 x 1/4 = 35/36
Portanto, 35/9 ÷ 12/3 = 35/36