Answer :
So we need to find:
[tex]\frac{7}{10}+2.6[/tex]If we want to express it as a simple fraction we need both terms to be expressed like fractions so let's take 2.6 and turn it into a fraction with 10 as the divisor:
[tex]2.6=2.6\cdot\frac{10}{10}=\frac{2.6\cdot10}{10}=\frac{26}{10}[/tex]Where I use the fact that 10/10 equals 1 so I could "make it apear" multiplying 2.6. Now we write and solve our quotient:
[tex]\begin{gathered} \frac{7}{10}+2.6=\frac{7}{10}+\frac{26}{10} \\ \frac{7}{10}+\frac{26}{10}=\frac{7+26}{10}=\frac{33}{10} \end{gathered}[/tex]So the answer is 33/10