Sure! Let’s break down the question which involves comparing and calculating several fractions.
### Step-by-Step Solution
First, we individually calculate each fraction given:
1. Calculating the first fraction:
[tex]\[
\frac{2}{8}
\][/tex]
Simplifying [tex]\(\frac{2}{8}\)[/tex]:
[tex]\[
\frac{2}{8} = \frac{2 \div 2}{8 \div 2} = \frac{1}{4} = 0.25
\][/tex]
2. Calculating the second fraction:
[tex]\[
\frac{7}{9}
\][/tex]
The division yields:
[tex]\[
\frac{7}{9} \approx 0.7777777777777778
\][/tex]
3. Calculating the third fraction:
[tex]\[
\frac{6}{9}
\][/tex]
Simplifying [tex]\(\frac{6}{9}\)[/tex]:
[tex]\[
\frac{6}{9} = \frac{6 \div 3}{9 \div 3} = \frac{2}{3} \approx 0.6666666666666666
\][/tex]
4. Calculating the fourth fraction:
[tex]\[
\frac{5}{9}
\][/tex]
The division yields:
[tex]\[
\frac{5}{9} \approx 0.5555555555555556
\][/tex]
### Final Values:
So we have:
[tex]\[
\frac{2}{8} = 0.25, \quad \frac{7}{9} \approx 0.7777777777777778, \quad \frac{6}{9} \approx 0.6666666666666666, \quad \frac{5}{9} \approx 0.5555555555555556
\][/tex]
Putting all the fractions together, we get:
[tex]\[
(0.25, 0.7777777777777778, 0.6666666666666666, 0.5555555555555556)
\][/tex]
These are the decimal equivalents of the given fractions.
