Question

If you help me I will fan you and give you a medal

Answer 1

Do you have any practice with turning repeating decimals into fractions, or is this your first time trying?

Answer 2

its my first time

Answer 3

We can do this with a cool little trick:
Let x = the repeating decimal\[x=1.\overline{04}\]now, what would 100x be?

Answer 4

idk

Answer 5

how about if I rewrite this as\[1.04040404...\]what is that number multiplied by 100?

Answer 6

104.0404

Answer 7

good, so that is 100x
so we have\[x=1.040404...\]and\[100x=104.040404...\]
now notice if we subtract x from 100x, the repeating decimal part will disappear!

Answer 8

so what is\[104.040404...\\ - 1.040404...\]?

Answer 9

103

Answer 10

good, and how many x is that?

Answer 11

um 103?

Answer 12

remember that \[100x=104.0404...\]and\[x=1.0404...\]