Answer:
Ascending order is given by
1/50<1/23<1/17<1/12<1/9<1/7<1/5
Descending order is given by
1/5>1/7>1/9>1/12>1/17>1/23>1/50
Step-by-step explanation:
We are given that
1/12,1/23,1/5,1/7,1/50,1/9,1/17
We have to arrange the numbers in ascending and descending order.
LCM of 12,23,5,7,50,9,17
[tex]23\times 5\times 12\times 7\times 50\times 17\times 9[/tex]
=73899000
[tex]\frac{1}{12}\times \frac{6158250}{6158250}=\frac{6158250}{73899000}[/tex]
[tex]\frac{1}{23}\times \frac{3213000}{3213000}=\frac{3213000}{73899000}[/tex]
[tex]\frac{1}{5}\times \frac{14779800}{14779800}=\frac{14779800}{73899000}[/tex]
[tex]\frac{1}{7}\times \frac{10557000}{10557000}=\frac{10557000}{73899000}[/tex]
[tex]\frac{1}{50}\times \frac{1477980}{1477980}=\frac{1477980}{73899000}[/tex]
[tex]\frac{1}{9}\times \frac{8211000}{8211000}=\frac{8211000}{73899000}[/tex]
[tex]\frac{1}{17}\times \frac{4347000}{4347000}=\frac{4347000}{73899000}[/tex]
14779800>10557000>8211000>6158250>4347000>3213000>1477980
Therefore,
Ascending order is given by
1/50<1/23<1/17<1/12<1/9<1/7<1/5
Descending order is given by
1/5>1/7>1/9>1/12>1/17>1/23>1/50
