Final answer:
To add the fractions 1/9 and 5/7, we find a common denominator, rewrite the fractions, and simplify the result to 4/9.
Step-by-step explanation:
To add the fractions 1/9 and 5/7, we need to find a common denominator. The least common multiple (LCM) of 9 and 7 is 63.
Next, we need to rewrite both fractions with the common denominator of 63. Multiply the numerator and denominator of 1/9 by 7, and the numerator and denominator of 5/7 by 9.
1/9 + 5/7 = (7/63) + (45/63) = 52/63
Simplifying the fraction 52/63, we divide both the numerator and denominator by their greatest common factor, which is 13. This gives us the simplified answer of 4/9.