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Bonjour,
43)
a.
5 x (1/2 + 3/4)
= 5 x (1 x 2 / 2 x 2 + 3/4)
= 5 x (2/4 + 3/4)
= 5 x 5/4
= 25/4
b.
7/2 x (3/5 + 1/10)
= 7/2 x (3 x 2 / 5 x 2 + 1/10)
= 7/2 x (6/10 + 1/10)
= 7/2 x 7/10
= 49/20
c.
2/3 + 4/3 x 6
= 2/3 + 24/3
= 26/3
d.
7/8 + 24 x 5/16
= 7/8 + 120/16
= 7 x 2 / 8 x 2 + 120/10
= 14/16 + 120/16
= 134/16
= 2 x 67 / 2 x 8
= 67/8
44)
a.
13/12 - 3/2 x 1/3
= 13/12 - 3/6
= 13/12 - 3 x 2 / 6 x 2
= 13/12 - 6/12
= 7/12
b.
8 - 5 x 3/7
= 8 - 15/7
= 8 x 7 / 1 x 7 - 15/7
= 56/7 - 15/7
= 41/7
c.
2/9 + 7/9 x 11/2
= 2/9 + 77/18
= 2 x 2 / 9 x 2 + 77/18
= 4/18 + 77/18
= 81/18
= 9 x 9 / 9 x 2
= 9/2
d.
11/12 x 4 - 4 x 2/3
= 44/12 - 8/3
= 44/12 - 8 x 4 / 3 x 4
= 44/12 - 32/12
= 12/12
= 1
43)
a.
5 x (1/2 + 3/4)
= 5 x (1 x 2 / 2 x 2 + 3/4)
= 5 x (2/4 + 3/4)
= 5 x 5/4
= 25/4
b.
7/2 x (3/5 + 1/10)
= 7/2 x (3 x 2 / 5 x 2 + 1/10)
= 7/2 x (6/10 + 1/10)
= 7/2 x 7/10
= 49/20
c.
2/3 + 4/3 x 6
= 2/3 + 24/3
= 26/3
d.
7/8 + 24 x 5/16
= 7/8 + 120/16
= 7 x 2 / 8 x 2 + 120/10
= 14/16 + 120/16
= 134/16
= 2 x 67 / 2 x 8
= 67/8
44)
a.
13/12 - 3/2 x 1/3
= 13/12 - 3/6
= 13/12 - 3 x 2 / 6 x 2
= 13/12 - 6/12
= 7/12
b.
8 - 5 x 3/7
= 8 - 15/7
= 8 x 7 / 1 x 7 - 15/7
= 56/7 - 15/7
= 41/7
c.
2/9 + 7/9 x 11/2
= 2/9 + 77/18
= 2 x 2 / 9 x 2 + 77/18
= 4/18 + 77/18
= 81/18
= 9 x 9 / 9 x 2
= 9/2
d.
11/12 x 4 - 4 x 2/3
= 44/12 - 8/3
= 44/12 - 8 x 4 / 3 x 4
= 44/12 - 32/12
= 12/12
= 1
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