Final answer:
To add mixed numbers, convert them to improper fractions, find a common denominator if necessary, add the fractions, and simplify the answer if possible. In this case, 6(1)/(2) + (5)/(7) = 48/7.
Step-by-step explanation:
To add mixed numbers, first convert them to improper fractions. Then, find a common denominator if necessary. Finally, add the fractions and simplify the answer if possible.
In this case, 6(1)/(2) is the mixed number. To convert it to an improper fraction, multiply the whole number by the denominator and add the numerator. So, 6(1)/(2) = (6 * 2 + 1)/(2) = 13/(2).
Next, find the common denominator between 2 and 7, which is 14. Multiply the numerator and denominator of 13/(2) by 7 to get (13 * 7)/(2 * 7) = 91/14.
Now, add the fractions: 91/14 + 5/(7). Since the denominators are the same, we can add the numerators directly: 91 + 5 = 96. The denominator remains 14.
Therefore, the sum of 6(1)/(2) + (5)/(7) is 96/14. To simplify this fraction, divide both the numerator and denominator by their greatest common divisor, which is 2 in this case. So, 96/14 simplifies to 48/7.