Respuesta:
12. 1
13. 23 / 6
14. 3 / 2
15. 2 / 31
Explicación paso a paso:
12.
( 3 / 2 + 1 / 2 )
= ( 3 + 1 ) / 2
= 4 / 2
= 2
( 1 / 3 + 2 /3 )
= ( 1 + 2 ) / 3
= 3 / 3
= 1
( 3 / 2 + 1 / 2 ) ÷ ( 1 / 3 + 2 / 3 )
= 2 ÷ 1
= 2 / 1
13.
1 / 2 / 5
= 1 x 5 / 2
= 5 / 2
1 / 1 / 4
= 1 x 4 / 1
= 4
3 / 1 / 6
= 3 x 6 / 1
= 18
LCM = 2
= 4 x 2 / 2
= 8 / 2
= 18 x 2 / 2
= 36 / 2
( 1 / 2 / 5 ) + ( 1 / 1 / 4 ) - ( 3 / 1 / 6 )
= ( 5 / 2 ) + ( 8 / 2 ) - ( 36 / 2 )
= ( 5 + 8 - 36 ) / 6
= ( 13 - 36 ) / 6
= 23 / 6
14.
( 3 / 2 - 1 / 4 )
= ( ( 3 x 2 / 2 x 2 ) - 1 / 4 )
= ( 6 / 4 - 1 / 4 )
= ( 6 - 1 ) / 4
= 5 / 4
( 1 / 3 + 1 / 2 )
= 2 / 6 + 3 / 6
= ( 2 + 3 ) / 6
= 5 / 6
( 3 / 2 - 1 / 4 ) ÷ ( 1 / 3 + 1 / 2 )
= ( 5 / 4 ) ÷ ( 5 / 6 )
= ( 5 / 4 ) x ( 6 / 5 )
= ( 5 x 6 ) / ( 4 x 5 )
= 6 / 4
= 3 / 2
15.
1 - 1 / 2
= 2 / 2 - 1 / 2
= ( 2 - 1 ) / 2
= 1 / 2
1 / ( 1 - 1 / 2 )
= 1 / 1 / 2
= 1 x 2 / 1
( 1 / 1 / 4 - 1 / ( 1 - 1 / 2 ) )
= 4 - 2
3 / 1 / 7
= 3 x 7 / 1
= 21
2 / 1 / 5
= 2 x 5 / 1
= 10
( 3 / 1 / 7 ) + ( 2 / 1 / 5 )
= 21 + 10
= 31
2 ÷ 31
= 2 / 31
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Respuesta:
12. 1
13. 23 / 6
14. 3 / 2
15. 2 / 31
Explicación paso a paso:
12.
( 3 / 2 + 1 / 2 )
= ( 3 + 1 ) / 2
= 4 / 2
= 2
( 1 / 3 + 2 /3 )
= ( 1 + 2 ) / 3
= 3 / 3
= 1
( 3 / 2 + 1 / 2 ) ÷ ( 1 / 3 + 2 / 3 )
= 2 ÷ 1
= 2 / 1
= 2
13.
1 / 2 / 5
= 1 x 5 / 2
= 5 / 2
1 / 1 / 4
= 1 x 4 / 1
= 4
3 / 1 / 6
= 3 x 6 / 1
= 18
LCM = 2
1 / 1 / 4
= 4
= 4 x 2 / 2
= 8 / 2
3 / 1 / 6
= 18
= 18 x 2 / 2
= 36 / 2
( 1 / 2 / 5 ) + ( 1 / 1 / 4 ) - ( 3 / 1 / 6 )
= ( 5 / 2 ) + ( 8 / 2 ) - ( 36 / 2 )
= ( 5 + 8 - 36 ) / 6
= ( 13 - 36 ) / 6
= 23 / 6
14.
( 3 / 2 - 1 / 4 )
= ( ( 3 x 2 / 2 x 2 ) - 1 / 4 )
= ( 6 / 4 - 1 / 4 )
= ( 6 - 1 ) / 4
= 5 / 4
( 1 / 3 + 1 / 2 )
= 2 / 6 + 3 / 6
= ( 2 + 3 ) / 6
= 5 / 6
( 3 / 2 - 1 / 4 ) ÷ ( 1 / 3 + 1 / 2 )
= ( 5 / 4 ) ÷ ( 5 / 6 )
= ( 5 / 4 ) x ( 6 / 5 )
= ( 5 x 6 ) / ( 4 x 5 )
= 6 / 4
= 3 / 2
15.
1 / 1 / 4
= 1 x 4 / 1
= 4
1 - 1 / 2
= 2 / 2 - 1 / 2
= ( 2 - 1 ) / 2
= 1 / 2
1 / ( 1 - 1 / 2 )
= 1 / 1 / 2
= 1 x 2 / 1
= 2
( 1 / 1 / 4 - 1 / ( 1 - 1 / 2 ) )
= 4 - 2
= 2
3 / 1 / 7
= 3 x 7 / 1
= 21
2 / 1 / 5
= 2 x 5 / 1
= 10
( 3 / 1 / 7 ) + ( 2 / 1 / 5 )
= 21 + 10
= 31
2 ÷ 31
= 2 / 31