The fraction 49/5 when converted to a mixed number results in 9 4/5. This is done by dividing the numerator by the denominator and expressing the result with the remainder over the original denominator.
To convert the improper fraction 49/5 into a mixed number, you divide the numerator by the denominator. In this case, 49 divided by 5 equals 9 with a remainder of 4. Thus, the mixed number is 9 whole parts and the remainder over the original denominator, resulting in 9 4/5. This process of conversion is useful in representing fractions in a more readable form, especially when dealing with large numerators.
The improper fraction 49/5 converts to the mixed number 9 4/5.
Converting improper fractions to mixed numbers allows for a more intuitive understanding of the fraction's value, and 49/5 simplifies to the mixed number 9 4/5, matching option A).