Question

Write the following into rational numbers a over b (a and b are integers)

a. 15.89898989 b. 0.101010

Answer 1

Answer: a.) 15 and 89/99

b.) 10/99

Explanation:

a.) 15.898989...

Let x = 0.898989...

100*x = 89.8989...

100x - x = 89.898989... - 0.898989...

99x = 89

x = 89/99

So 15.898989.... = 15 and 89/99

b.) 0.101010

Y= 0.101010

100y = 10.101010...

100y - y = 10

99y = 10

y = 10/99

From MysticAlanCheng