Question

tính) \(\left(\dfrac{45}{60}-\dfrac{75}{120}\right):\left(\dfrac{120}{75}-\dfrac{60}{45}\right):\left(\dfrac{75}{120}:\dfrac{60}{45}\right)\)

Answer 1

\(=\left(\dfrac{3}{4}-\dfrac{5}{8}\right):\left(\dfrac{8}{5}-\dfrac{4}{3}\right):\left(\dfrac{5}{8}:\dfrac{4}{3}\right)\\ =\left(\dfrac{6}{8}-\dfrac{5}{8}\right):\left(\dfrac{24}{15}-\dfrac{20}{15}\right):\left(\dfrac{5}{8}x\dfrac{3}{4}\right)\\ =\dfrac{1}{8}:\dfrac{4}{15}:\dfrac{15}{32}=\dfrac{1}{8}x\dfrac{15}{4}x\dfrac{32}{15}\\ =\dfrac{1x15x32}{8x4x15}=\dfrac{1x15x8x4}{8x4x15}\\ =\dfrac{1}{1}=1\)

Answer 2

`(45/60 - 75/120) : ( 120/75 - 60/45) : (75/120 : 60/45)`

`=(3/4 - 5/8) : ( 8/5 - 4/3) : ( 5/8 : 4/3)`

` = ( 6/8 - 5/8) : ( 24/15 - 20/15) : ( 15/24 : 32/24)`

` = 1/8 : 4/15 : 15/32`

`= 1/8 xx 15/4 xx 32/15`

` = (1xx15xx32)/(8xx4xx15)`

` = (1xx15xx8xx4)/(8xx4xx15)`

`=1`

Answer 3