4. Change this mixed number to an improper fraction. \( =\frac{4}{4}+\frac{5}{4}+\frac{1}{4} \)

To convert the mixed number \(4\frac{5}{4}+\frac{1}{4}\) into an improper fraction, we first need to express the whole number part as a fraction. The whole number \(4\) can be written as \(\frac{16}{4}\) (since 4 times the denominator 4 equals 16). Now, we add the fractions together: \(\frac{16}{4} + \frac{5}{4} + \frac{1}{4} = \frac{16 + 5 + 1}{4} = \frac{22}{4}\). Don’t forget to simplify if possible! In this case, \(\frac{22}{4}\) simplifies to \(\frac{11}{2}\). Next, you might want to remember that converting mixed numbers to improper fractions can be handy when you're adding, subtracting, or comparing fractions. By transforming everything into improper fractions, you make the calculations much simpler and avoid any potential mix-ups!