Question

1/2+2/3-3/5+1/7-2/5-8/9-7/4=
1/2+2/3-2/5+7/3-3/5+3/2-7/3=
1\2+1/3-2/5+7/3-3/5+3/2-7/3=
+2/5=
7/3.2/5.1/3=
7/3:2/5
32/2.5/3.2/5.1/3.4/5=
5/7.5/3.2/5.1/3.4/5.6/3=​

Answer 1

A) 1/2+2/3-3/5+1/7-2/5-8/9-7/4
= (1/2-7/4)+(2/3-8/9)+(-3/5-2/5)+1/7
= [(2•1)-(1•7)]/4+[(3•2)-(1•8)]/9+(-5/5)+1/7
= [2-7]/4+[6-8]/9+(-1/1)+1/7
= -5/4 + [-2/9] + (-1) + 1/7
= -5/4 - 2/9 - 1 + 1/7
= [(63•-5)-(28•2)-(252•1)+(36•1)]/252
= [-315 - 56 - 252 + 36]/252
= [-623 + 36]/252
= -587/252
= -2 83/252 (2 enteros 83/252)

B) 1/2+2/3-2/5+7/3-3/5+3/2-7/3
= (1/2+3/2)+(2/3+7/3-7/3)+(-2/5-3/5)
= (4/2) + (9/3-7/3) + (-5/5)
= (2/1) + (2/3) + (-1/1)
= 2 + 2/3 - 1
= [(3•2) + (1•2) - (3•1)]/3
= [6 + 2 - 3]/3
= [8 - 3]/3
= 5/3
= 1 2/3 ( 1 entero 2/3)

C) 1\2+1/3-2/5+7/3-3/5+3/2-7/3
= (1/2+3/2)+(1/3+7/3-7/3)+(-2/5-3/5)
= (4/2) + (8/3-7/3) + (-5/5)
= (2/1) + (1/3) + (-1/1)
= 2 + 1/3 - 1
= [(3•2) + (1•1) - (3•1)]/3
= [6 + 1 - 3]/3
= [7 - 3]/3
= 4/3
= 1 1/3 ( 1 entero 1/3)

D) +2/5= 0,4

E) 7/3 • 2/5 • 1/3
= 14/15 • 1/3
= 14/45

F) 7/3:2/5
= 7/3 • 5/2
= 35/6
= 5 5/6 (5 enteros 5/6)

G) 32/2.5/3.2/5.1/3.4/5
= 16 • 5/3 • 2/5 • 1/3 • 4/5
= 80/3 • 2/5 • 1/3 • 4/5
= 160/15 • 1/3 • 4/5
= 32/3 • 1/3 • 4/5
= 32/9 • 4/5
= 128/45
= 2 38/45 ( 2 enteros 38/45)

H) 5/7.5/3.2/5.1/3.4/5.6/3
= 5/7 • 5/3 • 2/5 • 1/3 • 4/5 • 2
= 25/21 • 2/5 • 1/3 • 4/5 • 2
= 50/105 • 1/3 • 4/5 • 2
= 10/21 • 1/3 • 4/5 • 2
= 10/63 • 4/5 • 2
= 40/315 • 2
= 8/63 • 2
= 16/63