Calculer et donner le résultat sous la forme la plus simple 23/18 x (3/4 + 5/12) (13/21 + 2/7) x (3/5 + 9/10) 1 - (9/7 - 5/6 x 3/7) 3/2 - 2/3 x 1/5 + 24 x 1/30

bonsoir

23/18 x (3/4 + 5/12)
23/18 x (9/12 +5/12)
23/18 x 14/12
= 322/216 =161/108

(13/21 + 2/7) x (3/5 + 9/10)
(13/21 + 6/21) x ( 6/10 +9/10)
19/21 x 15/10
285/ 210  = 19/14

1 - (9/7 - 5/6 x 3/7)
1 - ( 9/7 - 15/42)
1 - ( 54/42 - 15/42)
1 - 39/42
42/42 - 39/42 = 3/42

3/2 - 2/3 x 1/5 + 24 x 1/30
3/2 - 2/15 + 24/30
45/30 - 4/30 +24/30
65/30 = 13/6

23/18 x (3/4 + 5/12)
=23/18x(3x3/4x3+5/12)
=23/18(9/12+5/12)
=23/18(14/12)
=23x14/18x12
=23x7x2/9x2x12
=23x7/9x12
=161/108

(13/21 + 2/7) x (3/5 + 9/10)
=(13/21+2x3/7x3)x(3x2/5x2+9/10)
=(13/21+6/21)x(6/10+9/10)
=19/21x15/10
=19x15/21x10
=19x5x3/3x7x2x5
=19/14

1 - (9/7 - 5/6 x 3/7)
=1-(9/7-15/6x7)
=1-(9x6/7x6-15/7x6)
=1-(54/42-15/42)
=1-(39/42)
=42/42-39/42
=3/42
=3/14x3
=1/14

3/2 - 2/3 x 1/5 + 24 x 1/30
=3/2-2/15+24/30
=3x15/2x15-2x2/2x15+24/30
=45/30-4/30+24/30
=65/30
=13x5/5x6
=13/6