The repeating decimal, is converted to the fraction
2 answers:
Hello!
By using a certain formula, a repeating number with two repeating digits will always become the number out of 99. In our case, we would get
.
To get the numerator to equal three, we divide both sides by 9.
![\frac{27}{99} =\frac{3}{11}](https://tex.z-dn.net/?f=%20%5Cfrac%7B27%7D%7B99%7D%20%3D%5Cfrac%7B3%7D%7B11%7D%20%20)
Therefore, x=11.
I hope this helps!
y = 0.272727...
100y = 27.2727...
- y = 0.2727...
-------------------------
99y = 27
y = 27/99
y = (3 * 9)/(11 * 9)
y = 3/11
0.272727... = 3/11 = 3/x
x = 11
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