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Bonjour

2 + 12/15 x 10/3

= 2 + (3 x 4)/(3 x 5) x (2 x 5)/3

= 2 + 4/5 x (2 x 5)/3

= 2 + (4 x 2 x 5)/(3 x 5)

= 2 + 8/3

= (2 x 3)/3 + 8/3

= 6/3 + 8/3

= 14/3

15/12 x 6/10 - 1/8

= (3 x 5 x 2 x 3)/(3 x 4 x 2 x 5) - 1/8

= (30 x 3)/(30 x 4) - 1/8

= 3/4 - 1/8

= (3 x 2)/(4 x 2) - 1/8

= 6/8 - 1/8

= 5/8

8/3 - 3/8 x 10/6

= 8/3 - (3 x 2 x 5)/(2 x 4 x 2 x 3)

= 8/3 - (6 x 5)/(6 x 8)

= 8/3 - 5/8

= (8 x 8)/(3 x 8) - (5 x 3)/(8 x 3)

= 64/24 - 15/24

= 49/24

(1/3 - 1/6) x 5/2

= [(1 x 2)/(3 x 2) - 1/6] x 5/2

= (2/6 - 1/6) x 5/2

= 1/6 x 5/2

= 5/(2 x 6)

= 5/12

(4 - 2/3 x 3/2) x 4/3

= [4 - (2 x 3)/(2 x 3)] x 4/3

= (4 - 1) x 4/3

= 3 x 4/3

= (3 x 4)/3

= 4

(4/5 - 1/10) x 3

= [(4 x 2)/(5 x 2) - 1/10] x 3

= (8/10 - 1/10) x 3

= 7/10 x 3

= (7 x 3)/10

= 21/10

2/3 x 9/16 - 1/16

= (2 x 3 x 3)/(3 x 2 x 8) - 1/16

= (6 x 3)/(16 x 3) - 1/16

= 6/16 - 1/16

= 5/16

7/5 x 3/2 - 3/2

= (7 x 3)/(5 x 2) - (3 x 5)/(2 x 5)

= 21/10 - 15/10

= 6/10

= (2 x 3)/(2 x 5)

= 3/5

3/5 + 1/5 x 2/3

= 3/5 + (1 x 2)/(5 x 3)

= (3 x 3)/(5 x 3) + 2/15

= 9/15 + 2/15

= 11/15