To find the sum of the given fractions, [tex]\(\frac{7}{9}\)[/tex], [tex]\(\frac{13}{5}\)[/tex], and [tex]\(\frac{31}{6}\)[/tex], follow these steps:
1. Convert each fraction to a decimal:
- [tex]\(\frac{7}{9}\)[/tex] as a decimal is approximately [tex]\(0.7777777777777778\)[/tex].
- [tex]\(\frac{13}{5}\)[/tex] as a decimal is [tex]\(2.6\)[/tex].
- [tex]\(\frac{31}{6}\)[/tex] as a decimal is approximately [tex]\(5.166666666666667\)[/tex].
2. Add the decimal values of the fractions:
[tex]\[
0.7777777777777778 + 2.6 + 5.166666666666667
\][/tex]
3. Perform the addition:
- Step 1:
[tex]\[
0.7777777777777778 + 2.6 = 3.3777777777777778
\][/tex]
- Step 2:
[tex]\[
3.3777777777777778 + 5.166666666666667 = 8.544444444444444
\][/tex]
So, the sum of [tex]\(\frac{7}{9}\)[/tex], [tex]\(\frac{13}{5}\)[/tex], and [tex]\(\frac{31}{6}\)[/tex] is [tex]\(8.544444444444444\)[/tex].
