Respuesta:
a. 9 / 7
b. 47 / 35
c. 11 / 9
d. 23 / 35
e. 107 / 84
f. 7 / 5
g. 39 / 42
h. 263 / 84
Explicación paso a paso:
a.
3 / 7 + 6 / 7
= ( 3 + 6 ) / 7
= 9 / 7
b.
6 / 5
= ( 6 / 5 ) x ( 7 / 7 )
= ( 6 x 7 ) / ( 5 x 7 )
= 42 / 35
1 / 7
= ( 1 / 7 ) x ( 5 / 5 )
= ( 1 x 5 ) / ( 5 x 7 )
= 5 / 35
6 / 5 + 1 / 7
= ( 42 / 35 ) + ( 5 / 35 )
= ( 42 + 5 ) / 35
= 47 / 35
c.
5 / 3
= ( 5 / 3 ) x ( 3 / 3 )
= ( 5 x 3 ) / ( 3 x 3 )
= 15 / 9
5 / 3 - 4 / 9
= ( 15 / 9 ) - ( 4 / 9 )
= ( 15 - 4 ) / 9
= 11 / 9
d.
4 / 5
= ( 4 / 5 ) x ( 7 / 7 )
= ( 4 x 7 ) / ( 5 x 7 )
= 28 / 35
4 / 5 - 1 / 7
= ( 28 / 35 ) - ( 5 / 35 )
= ( 28 - 5 ) / 35
= 23 / 35
e.
6 / 7
= ( 6 / 7 ) x ( 12 / 12 )
= ( 6 x 12 ) / ( 7 x 12 )
= 72 / 84
2 / 3
= ( 2 / 3 ) x ( 28 / 28 )
= ( 2 x 28 ) / ( 3 x 28 )
= 56 / 84
1 / 4
= ( 1 / 4 ) x ( 21 / 21 )
= ( 1 x 21 ) / ( 4 x 21 )
= 21 / 84
6 / 7 + 2 / 3 - 1 / 4
= ( 72 / 84 ) + ( 56 / 84 ) - ( 21 / 84 )
= ( 72 + 56 - 21 ) / 84
= ( 128 - 21 ) / 84
= 107 / 84
f.
11 / 4 + 1 / 4 - 8 / 5
= ( 11 + 1 ) / 4 - ( 8 / 5 )
= ( 12 / 4 ) - ( 8 / 5 )
= 3 - ( 8 / 5 )
= ( 15 / 5 ) - ( 8 / 5 )
= ( 15 - 8 ) / 5
= 7 / 5
g.
7 / 6
= ( 7 / 6 ) x ( 7 / 7 )
= ( 7 x 7 ) / ( 6 x 7 )
= 49 / 42
3 / 7
= ( 3 / 7 ) x ( 6 / 6 )
= ( 3 x 6 ) / ( 7 x 6 )
= 18 / 42
= ( 2 / 3 ) x ( 14 / 14 )
= ( 2 x 14 ) / ( 3 x 14 )
= 28 / 42
7 / 6 + 1 / 7 - 2 / 3
= ( 49 / 42 ) + ( 18 / 42 ) - ( 28 / 42 )
= ( 49 + 18 - 28 ) / 42
= ( 49 - 10 ) / 42
= 39 / 42
h.
5 / 7
= ( 5 / 7 ) x ( 12 / 12 )
= ( 5 x 12 ) / ( 7 x 12 )
= 60 / 84
8 / 3
= ( 8 / 3 ) x ( 28 / 28 )
= ( 8 x 28 ) / ( 3 x 28 )
= 224 / 84
( 5 / 7 ) - ( 1 / 4 ) + ( 8 / 3 )
= ( 60 / 84 ) - ( 21 / 84 ) + ( 224 / 84 )
= ( 60 - 21 + 224 ) / 84
= ( 39 + 224 ) / 84
= 263 / 84
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B.- 47/35
C.- 11/9
D.- 23/35
E.- 107/84
F.- 1/3
G.- 9/14
H.- 263/84
Espero haberte ayudado.
Respuesta:
a. 9 / 7
b. 47 / 35
c. 11 / 9
d. 23 / 35
e. 107 / 84
f. 7 / 5
g. 39 / 42
h. 263 / 84
Explicación paso a paso:
a.
3 / 7 + 6 / 7
= ( 3 + 6 ) / 7
= 9 / 7
b.
6 / 5
= ( 6 / 5 ) x ( 7 / 7 )
= ( 6 x 7 ) / ( 5 x 7 )
= 42 / 35
1 / 7
= ( 1 / 7 ) x ( 5 / 5 )
= ( 1 x 5 ) / ( 5 x 7 )
= 5 / 35
6 / 5 + 1 / 7
= ( 42 / 35 ) + ( 5 / 35 )
= ( 42 + 5 ) / 35
= 47 / 35
c.
5 / 3
= ( 5 / 3 ) x ( 3 / 3 )
= ( 5 x 3 ) / ( 3 x 3 )
= 15 / 9
5 / 3 - 4 / 9
= ( 15 / 9 ) - ( 4 / 9 )
= ( 15 - 4 ) / 9
= 11 / 9
d.
4 / 5
= ( 4 / 5 ) x ( 7 / 7 )
= ( 4 x 7 ) / ( 5 x 7 )
= 28 / 35
1 / 7
= ( 1 / 7 ) x ( 5 / 5 )
= ( 1 x 5 ) / ( 5 x 7 )
= 5 / 35
4 / 5 - 1 / 7
= ( 28 / 35 ) - ( 5 / 35 )
= ( 28 - 5 ) / 35
= 23 / 35
e.
6 / 7
= ( 6 / 7 ) x ( 12 / 12 )
= ( 6 x 12 ) / ( 7 x 12 )
= 72 / 84
2 / 3
= ( 2 / 3 ) x ( 28 / 28 )
= ( 2 x 28 ) / ( 3 x 28 )
= 56 / 84
1 / 4
= ( 1 / 4 ) x ( 21 / 21 )
= ( 1 x 21 ) / ( 4 x 21 )
= 21 / 84
6 / 7 + 2 / 3 - 1 / 4
= ( 72 / 84 ) + ( 56 / 84 ) - ( 21 / 84 )
= ( 72 + 56 - 21 ) / 84
= ( 128 - 21 ) / 84
= 107 / 84
f.
11 / 4 + 1 / 4 - 8 / 5
= ( 11 + 1 ) / 4 - ( 8 / 5 )
= ( 12 / 4 ) - ( 8 / 5 )
= 3 - ( 8 / 5 )
= ( 15 / 5 ) - ( 8 / 5 )
= ( 15 - 8 ) / 5
= 7 / 5
g.
7 / 6
= ( 7 / 6 ) x ( 7 / 7 )
= ( 7 x 7 ) / ( 6 x 7 )
= 49 / 42
3 / 7
= ( 3 / 7 ) x ( 6 / 6 )
= ( 3 x 6 ) / ( 7 x 6 )
= 18 / 42
2 / 3
= ( 2 / 3 ) x ( 14 / 14 )
= ( 2 x 14 ) / ( 3 x 14 )
= 28 / 42
7 / 6 + 1 / 7 - 2 / 3
= ( 49 / 42 ) + ( 18 / 42 ) - ( 28 / 42 )
= ( 49 + 18 - 28 ) / 42
= ( 49 - 10 ) / 42
= 39 / 42
h.
5 / 7
= ( 5 / 7 ) x ( 12 / 12 )
= ( 5 x 12 ) / ( 7 x 12 )
= 60 / 84
1 / 4
= ( 1 / 4 ) x ( 21 / 21 )
= ( 1 x 21 ) / ( 4 x 21 )
= 21 / 84
8 / 3
= ( 8 / 3 ) x ( 28 / 28 )
= ( 8 x 28 ) / ( 3 x 28 )
= 224 / 84
( 5 / 7 ) - ( 1 / 4 ) + ( 8 / 3 )
= ( 60 / 84 ) - ( 21 / 84 ) + ( 224 / 84 )
= ( 60 - 21 + 224 ) / 84
= ( 39 + 224 ) / 84
= 263 / 84