a. Convert the following mixed number into an improper fraction. Simplify your answer and express it in lowest terr if applicable. b. Convert the following improper fraction into a mixed number. Simplify your answer to its lowest terms. \( \frac{54}{7}= \)

To convert a mixed number into an improper fraction, you multiply the whole number by the denominator and add the numerator. For example, if you had the mixed number \(3\frac{1}{2}\), it would become \(\frac{3 \times 2 + 1}{2} = \frac{7}{2}\). The key is keeping your fractions sleek and tidy! Turning an improper fraction into a mixed number is equally fun! For \( \frac{54}{7} \), divide 54 by 7, which gives you 7 with a remainder of 5. Thus, \( \frac{54}{7} \) turns into the mixed number \( 7\frac{5}{7} \). Simplifying fractions is all about making things neat and easy to understand!