To address the question, let's break it down into clear steps:
1. Determine the Fraction Value:
The given fraction is [tex]\(\frac{7}{9}\)[/tex].
2. Convert the Fraction to a Decimal:
We need to express [tex]\(\frac{7}{9}\)[/tex] as a decimal. When [tex]\(\frac{7}{9}\)[/tex] is calculated, it equals approximately [tex]\(0.7777777777777778\)[/tex].
3. Round the Decimal to Three Decimal Places:
Next, we must round [tex]\(0.7777777777777778\)[/tex] to three decimal places.
- We look at the fourth decimal place to decide how to round.
- The first three digits are [tex]\(0.777\)[/tex].
- The fourth digit is [tex]\(7\)[/tex], which is greater than or equal to [tex]\(5\)[/tex].
- Since it is [tex]\(7\)[/tex], we round up the third decimal place by [tex]\(1\)[/tex].
Hence, rounding [tex]\(0.7777777777777778\)[/tex] to three decimal places results in [tex]\(0.778\)[/tex].
So, the value of [tex]\(\frac{7}{9}\)[/tex] rounded to three decimal places is [tex]\(0.778\)[/tex].
