How do you write \( 8 \frac{6}{11} \) as a decimal? \( 8 . \overline{54}, 8 . \overline{45} \) \( 8 . \overline{5} \) \( 8 . \overline{4} \)

To convert the mixed number \( 8 \frac{6}{11} \) to a decimal, you first convert the fraction \( \frac{6}{11} \) to a decimal. Dividing 6 by 11 gives you approximately 0.545454..., which is a repeating decimal represented as \( 0.\overline{54} \). So, adding this to the whole number 8 results in \( 8.\overline{54} \). To confirm, if you multiply \( 0.\overline{54} \) by 11, you’ll get back 6, validating that your decimal conversion is correct. Many people make the mistake of rounding the decimal prematurely or misidentifying the repeating decimal, but careful division helps ensure accuracy!