Find the fractional equivelent of .282828 (reduce to lowest terms)

[From: ] [author: ] [Date: 12-04-19] [Hit: ]

..x = 0.28282828.........

Someone already described how to find the fractional equivalent 0.282828, but I'll put how to get that of the repeating decimal 0.282828...

Set the repeating part equal to x:
x = 0.28282828...

Multiply by some power of 10 to get just the repeating part above the decimal point:
100x = 28.28282828...

Subtract the original x from this. Note that subtracting it gets rid of the repeating part (which is the same):
100x - x = 28.28282828... - 0.2828282828
99x = 28

Divide by the coefficient of x:
x = 28/99

Thus plugging 28/99 into a calculators will give 0.28282828...

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multiply by 1 000 000

282828/1000 000

then find common factors. How about ..... 4?

70707/250 000

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