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# What is the closest fraction to 1.483

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What is the closest fraction to 1.483

Jan 14, 2019

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Not necessarily...If Guest meant the fraction 1.483 with a repetent above the 3, the decimal is completely different. I believe that Guest was thinking about this decimal since it is a lot harder and a more difficult math problem.

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This is your decimal: 1.483, which is basically 1.483333333...

We can do this: we want to take away decimal part, including the repeating part.

X = 1.483 repeating 3

10X = 14.833 repeating 3

-       X = 1.483 repeating 3

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9X = 13.35

X = $$\dfrac{13.35}{9} \Rightarrow \dfrac{1335}{900} \rightarrow \dfrac{89}{60} \Rightarrow \boxed{1\dfrac{29}{60}}$$

1 29/60 or 89/60 is the closest fraction to 1.483 repeating 3.

Hope this helps,

- PM

Jan 14, 2019