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To write anything as a percentage, you just multiply it by 100, so 0.8333rec = 83.333rec%

The first step is to multiply the number by 10 to isolate the recurring decimal. That gives us 8.333rec and we can ignore the 8 for the time being.

To find the fraction form of the recurring decimal, we need to multiply by 10 and subtract the original number:

0.333rec x 10 = 3.333rec

0.333rec x 10 - 0.333rec = 3

This can be simplified as

0.333rec x 9 = 3

and dividing both sides by 9 gives us 0.333rec = 3/9 or 1/3

but we ignored the 8, so the number was 8 and 1/3 or 25/3

we also multiplied by 10 to isolate the recurring decimal, so we need to divide by 10 now to get our answer of 25/30

Both top and bottom here divide by 5, so we can simplify it as 5/6

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Q: What is the fractional and percent notation for .83 with the three repeating?
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