### Instruction: Find: $\frac{2}{7}+\frac{8}{10}$.### Response: To add fractions, I need to have a common denominator.
I can find a common denominator by multiplying the denominators of the two fractions: $7\times 10=70$.
To make equivalent fractions with a denominator of 70, I need to multiply the numerator and denominator of each fraction by the same factor.
For the first fraction, I need to multiply by 10: $\frac{2}{7}\times \frac{10}{10}=\frac{20}{70}$.
For the second fraction, I need to multiply by 7: $\frac{8}{10}\times \frac{7}{7}=\frac{56}{70}$.
Now I can add the fractions with the same denominator: $\frac{20}{70}+\frac{56}{70}=\frac{76}{70}$.
This is an improper fraction, so I can simplify it by dividing the numerator by the denominator and finding the remainder.
$76\div 70=1$ with a remainder of 6, so $\frac{76}{70}=1\frac{6}{70}$.
I can simplify the fraction further by finding the greatest common factor of 6 and 70, which is 2.
Dividing both the numerator and denominator by 2, I get $\frac{6}{70}=\frac{3}{35}$.