Question

Convert 8.1616 to a fraction ?

Answer 1

`8.1616 = 5101/625`

`8.bar(16) = 808/99`

Explanation:

If you intended the terminating decimal `8.1616` then we have:

`8.1616 = 81616/10000 = (5101 * color(red)(cancel(color(black)(16))))/(625 * color(red)(cancel(color(black)(16)))) = 5101/625`

If you intended `8.16161616... = 8.bar(16)` then:

Note that:

`0.bar(99) = 1`

So:

`8.bar(16) = 8xx99/99+16/99 = (792+16)/99 = 808/99`