To write [tex]\(\frac{18}{23}\)[/tex] as a decimal rounded to the nearest hundredth, follow these steps:
1. Divide 18 by 23: - Perform the division to get the decimal value: [tex]\(\frac{18}{23} \approx 0.782608695652174\)[/tex].
2. Round the Decimal Value: - Identify where we need to round: the hundredth place is the second digit to the right of the decimal point. - The current value to two decimal places is 0.78. - The third digit (which is the digit to the right of the hundredth place) is 2. - Since this digit is less than 5, we do not need to round up.
Therefore, [tex]\(\frac{18}{23}\)[/tex] as a decimal rounded to the nearest hundredth is: [tex]\[
\frac{18}{23} \approx 0.78
\][/tex]
