Bonjour
(3/4 - 1/2) x 16/9
= (3/4 - 2/4) x 16/9
= 1/4 x 16/9
= 16/4 x 1/9
= (4 x 4)/4 x 1/9
= 4/9
(5^2 - 1)/(5 - 1)^2
= (25 - 1)/(4^2)
= 24/16
= (8 x 3)/(8 x 2)
= 3/2
(7/12 - 1/8) / (7/6 + 7/16)
= [(7 x 2)/(12 x 2) - (1 x 3)/(8 x 3)] / [(7 x 8)/(6 x 8) + (7 x 3)/(16 x 3)]
= (14/24 - 3/24) / (56/48 + 21/48)
= 11/24 / 77/48
= 11/24 x 48/77
= 11/77 x 48/24
= 11/(7 x 11) x (24 x 2)/24
= 1/7 x 2
= 2/7
(1/8 + 7/12) / (5/6 - 4/15)
= [(1 x 3)/(8 x 3) + (7 x 2)/(12 x 2)] / [(5 x 5)/(6 x 5) - (4 x 2)/(15 x 2)]
= (3/24 + 14/24) / (25/30 - 8/30)
= 17/24 / (17/30)
= 17/24 x 30/17
= 17/17 x 30/24
= (6 x 5)/(6 x 4)
= 5/4
