Express 1211111 as a rational number in the form pq where p

Express 12.11111... as a rational number, in the form p/q where p and q have no common factors. 7. Express 1.2345123435... as a rational number, in the form p/q where p and q have no common factors. 8. A ball drops from a height of 3 meters. Each time it hits the ground, it bounces up 62 percent of the height it falls. Assuming it goes on forever find the total distance it travels.

Solution

6) 12.1111 this can be written in 121.111

now subtract 121.11-12.11 = 109

in the p/q = 109/9

7)here 1.234512345 can be written as 12345-1 = 12344

12344/9999

3)

the total distance travelled by the boll is 7.4 m

for 3 m it bounces to 1.86 m again 1.15m and o.75m and 0.44m and 0.2m .

add all the values . so the total distance that the moved is 7.4m