cfkrall2 cfkrall2
  • 20-09-2021
  • Mathematics
contestada

3.83 repeating 3 as a simplified fraction?

Respuesta :

chetankachana
chetankachana chetankachana
  • 20-09-2021

Answer:

3 5/6

Step-by-step explanation:

Lets work with the decimal part, 0.8(3)

The decimal would be 0.8333333......

let x be 0.833333....

10x would be 8.333...

100x would be 83.3333....

100x - 10x would be 75, because the repeating 3s will cancel out

90x = 75

75/90 = x

x = 75/90 = 15/18 = 5/6

The decimal is 5/6

Now we add back the whole number, 3, to 5/6

It would be 3 5/6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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