Explanation:
1. Convert the mixed number 24 1/2 to an improper fraction by multiplying the whole number (24) by the denominator of the fraction (2) and adding the numerator (1). This gives us an improper fraction of 49/2.
2. Find a common denominator for the fractions 5/14 and 49/2. The least common multiple of 14 and 2 is 14, so we can rewrite the fractions as 7/7 and 49/14, respectively.
3. Add the numerators and keep the denominator the same: 7/7 + 49/14 = (7+49)/7 = 56/7
4. Simplify the fraction 56/7 by dividing both the numerator and the denominator by their greatest common factor, which is 7. This gives us a simplified fraction of 8/1, or 8.
5. The sum of 5/14+24 1/2 is equal to 8.