\(\dfrac{16}{9}\times\dfrac{27}{20}\times\dfrac{40}{33}\times\dfrac{55}{48}\times\dfrac{72}{65}\times\dfrac{91}{84}\times\dfrac{112}{105}\times\dfrac{135}{128}\times\dfrac{160}{153}\\ =\dfrac{12}{5}\times\dfrac{40}{33}\times\dfrac{55}{48}\times\dfrac{72}{65}\times\dfrac{91}{84}\times\dfrac{112}{105}\times\dfrac{135}{128}\times\dfrac{160}{153}\\ =\dfrac{32}{11}\times\dfrac{55}{48}\times\dfrac{72}{65}\times\dfrac{91}{84}\times\dfrac{112}{105}\times\dfrac{135}{128}\times\dfrac{160}{153}\\ =\dfrac{10}{3}\times\dfrac{72}{65}\times\dfrac{91}{84}\times\dfrac{112}{105}\times\dfrac{135}{128}\times\dfrac{160}{153}\\ =\dfrac{48}{13}\times\dfrac{91}{84}\times\dfrac{112}{105}\times\dfrac{135}{128}\times\dfrac{160}{153}\\ =4\times\dfrac{112}{105}\times\dfrac{135}{128}\times\dfrac{160}{153}\\ =\dfrac{448}{105}\times\dfrac{135}{128}\times\dfrac{160}{153}\\ =\dfrac{9}{2}\times\dfrac{160}{153}\\ =\dfrac{80}{17}\)
16
9
×
27
20
×
40
33
×
55
48
×
72
65
×
91
84
×
112
105
×
135
128
×
160
153
=
12
5
×
40
33
×
55
48
×
72
65
×
91
84
×
112
105
×
135
128
×
160
153
=
32
11
×
55
48
×
72
65
×
91
84
×
112
105
×
135
128
×
160
153
=
10
3
×
72
65
×
91
84
×
112
105
×
135
128
×
160
153
=
48
13
×
91
84
×
112
105
×
135
128
×
160
153
=
4
×
112
105
×
135
128
×
160
153
=
448
105
×
135
128
×
160
153
=
9
2
×
160
153
=
80
17