Question

Convert the repeating decimal to a/b form, where a,b are integers and b≠0

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4.81

Answer 1

\[x=4.\overline{81}\]\[100x=481.\overline{81}\]\[100x-x=481.\cancel{\overline{81}}-4.\cancel{\overline{81}}\]\[99x=477\]

Answer 2

So is the anwer 477?

Answer 3

no, you must solve for x

Answer 4

53/11?

Answer 5

doesn't 477 seem a bit larger than 4.818181... ?
that means they can't be equal. Always check to make sure your answer makes sense.

Answer 6

how did you get that answer?

Answer 7

I just did 99x=477, am I right?

Answer 8

yep :)

Answer 9

please note how I did the problem. Next time I expect you won't need so much help.

Answer 10

So is 53/11 considered simplified?

Answer 11

yes

Answer 12

I have to simplify the problem

Answer 13

477/99 is unsimplified
53/11 is

Answer 14

oh wow, thank you for your help

Answer 15

welcome