The sum of the fractions 67/3 and 99/99, when each is converted to have a common denominator of 297, is 6,990/297. This fraction simplifies to 70/3 or 23 1/3 as a mixed number.
Step-by-step explanation:
In order to determine the sum of the given fractions, we need to find a common denominator. We can achieve this by multiplying the denominators together, in this case, 3 and 99. This would give us a common denominator of 297. Following the rules for addition of fractions, we can convert the fractions 67/3 and 99/99 to have the same denominator of 297, resulting in the fractions 6,693/297 and 297/297.
Once we have the same denominators, we can simply add the numerators together: 6,693 + 297 = 6,990. Therefore, the sum of the fractions is 6,990/297. Using the greatest common divisor approach, we can simplify this fraction by dividing both the numerator and the denominator by 99, the greatest common divisor in this case. The simplified result is 70/3 or 23 1/3 when expressed as a mixed number.