Bonjour,
4)
a) - 3/5 + 4/15
= (- 3 x 3) / (5 x 3) + 4/15
= - 9/15 + 4/15
= - 5/15
= (5 x - 1) / (5 x 3)
= - 1/3
b) 3/4 + 5/- 6
= 3/4 - 5/6
= (3 x 3) / (4 x 3) - (5 x 2) / (6 x 2)
= 9/12 - 10/12
= - 1/12
c) - 2/3 - - 3/4
= - 2/3 + 3/4
= (- 2 x 4) / (3 x 4) + (3 x 3) / (4 x 3)
= - 8/12 + 9/12
= 1/12
d) 2/8 + - 1/- 16
= 2/8 + 1/16
= (2 x 2) / (8 x 2) + 1/16
= 4/16 + 1/16
= 5/16
e) 5/2 - - 9/10
= 5/2 + 9/10
= (5 x 5) / (2 x 5) + 9/10
= 25/10 + 9/10
= 34/10
= (2 x 17) / (2 x 5)
= 17/5
f) 1/3 + 12/21
= (1 x 7) / (3 x 7) + 12/21
= 7/21 + 12/21
= 19/21
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Bonjour,
4)
a) - 3/5 + 4/15
= (- 3 x 3) / (5 x 3) + 4/15
= - 9/15 + 4/15
= - 5/15
= (5 x - 1) / (5 x 3)
= - 1/3
b) 3/4 + 5/- 6
= 3/4 - 5/6
= (3 x 3) / (4 x 3) - (5 x 2) / (6 x 2)
= 9/12 - 10/12
= - 1/12
c) - 2/3 - - 3/4
= - 2/3 + 3/4
= (- 2 x 4) / (3 x 4) + (3 x 3) / (4 x 3)
= - 8/12 + 9/12
= 1/12
d) 2/8 + - 1/- 16
= 2/8 + 1/16
= (2 x 2) / (8 x 2) + 1/16
= 4/16 + 1/16
= 5/16
e) 5/2 - - 9/10
= 5/2 + 9/10
= (5 x 5) / (2 x 5) + 9/10
= 25/10 + 9/10
= 34/10
= (2 x 17) / (2 x 5)
= 17/5
f) 1/3 + 12/21
= (1 x 7) / (3 x 7) + 12/21
= 7/21 + 12/21
= 19/21