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]
