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What is 7/6 as a decimal and what is the repeating number is the division?

1 Answer

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Answer: 1.166666... the 6s go on forever

When rounded to say four decimal places, then we'd get 1.1667

We can write that as
1.166666\ldots = 1.1\overline{6}

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Step-by-step explanation:

The quick way to get the answer is to type 7/6 into your calculator, or 7รท6, and you should get 1.1667 approximately. The reality is that the "6"s go on forever. But at some point, we have to round.

When writing
1.166666\ldots = 1.1\overline{6} the horizontal bar tells us which digit goes on forever.

If you want to do this by long division, then check out the work shown below.

What is 7/6 as a decimal and what is the repeating number is the division?-example-1
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