bonjour pourriez vous me explique svp merci beaucoup​

Bonjour

(2/3 + 3/4) - (1/6 + 1/3)

= [(2 x 4)/(3 x 4) + (3 x 3)/(4 x 3)] - [1/6 + (1 x 2)/(3 x 2)]

= (8/12 + 9/12) - (1/6 + 2/6)

= 17/12 - 3/6

= 17/12 - (3 x 2)/(6 x 2)

= 17/12 - 6/12

= 11/12

(5/16 + 1/44) x (4/3 - 4/5)

= [(5 x 11)/(16 x 11) + (1 x 4)/(44 x 4)] x [(4 x 5)/(3 x 5) - (4 x 3)/(5 x 3)]

= (55/176 + 4/176) x (20/15 - 12/15)

= (59/176) x (8/15)

= (59 x 8)/(8 x 22 x 15)

= 59/(22 x 15)

= 59/330