2 years ago

Express 8.5454545454... as a rational number, in the form p/q where p and q are positive integers with no common factors.

1 answer:

5 0

$x=8.\overline{54}\\
100=854.\overline{54}\\
100x-x=854.\overline{54}-8.\overline{54}\\
99x=846\\
x=\dfrac{846}{99}=\dfrac{94}{11}

$

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