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4 votes
Please help ASAP! And please show steps or explain!

Please help ASAP! And please show steps or explain!-example-1

2 Answers

7 votes
first put 3 out of the way then divide 100 by 16.666666 then you should get around 3 1/6
User Hriday Modi
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8.4k points
3 votes
There is one repeating digit, so we effectively multiply and divide by 10^1 -1 = 9. (The exponent of 10 here is the number of repeating digits.)


10 * 3.1\overline{6} - 3.1\overline{6} = 31.6\overline{6} -3.1\overline{6} = 28.5 = 9 * 3.1\overline{6}

Then you have

3.1\overline{6} = (28.5)/(9) = (285)/(90) = (19)/(6)

The equivalent fraction is 19/6.
User Matthew Lymer
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7.6k points