Question

下面各题怎样简便就怎样算16/35×21/4014/5÷9/410÷5/11×3/22？

Answer 1

解：16/35×21/40+14/5÷9/4+10÷5/11×3/22
=6/25+14/5×4/9+10×11/5×3/22
=6/25+56/45+10×3/10
=6/25+56/45+3
=54/225+280/225+3
=334/225+3
=1009/225

Answer 2

16/35×21/40=16/40×21/35=2/5×3/5=6/25
14/5÷9/4=14/5×4/9=56/45
10÷5/11×3/22=10×11/5×3/22=3×10/5×11/22=3

Answer 3

16/35×21/40=16/40×21/35=2/5×3/5=6/25
14/5÷9/4=14/5×4/9=56/45
10÷5/11×3/22=10×11/5×3/22=3×10/5×11/22=3

Answer 4

首先，我们可以将乘法和除法运算分别进行，然后将得到的结果相乘即可。

16/35 × 21/40 = (4/7) × (21/50) = 6/25

14/5 ÷ 9/4 = (14/5) × (4/9) = 56/45

10 ÷ 5/11 × 3/2 = 10 × 11/5 × 2/3 = 22

因此，原式为：

6/25 × 56/45 × 22 = 1232/5625

答案为 1232/5625。