Liz has different lengths of ribbon (in feet) shown by the amounts below: \( \quad 3 \frac{1}{3}+5 \frac{3}{4} \)

To add Liz's ribbons, first convert the mixed numbers to improper fractions. For \(3 \frac{1}{3}\), which is \((3 \times 3 + 1)/3 = 10/3\), and for \(5 \frac{3}{4}\), it’s \((5 \times 4 + 3)/4 = 23/4\). To add \(\frac{10}{3}\) and \(\frac{23}{4}\), find a common denominator, which is 12. Convert both fractions: \(\frac{10}{3} = \frac{40}{12}\) and \(\frac{23}{4} = \frac{69}{12}\). Now add: \(\frac{40}{12} + \frac{69}{12} = \frac{109}{12}\), which as a mixed number is \(9 \frac{1}{12}\) feet. If Liz were to make bows, having precise lengths would be crucial! Instead of cutting randomly, she could measure using her total of \(9 \frac{1}{12}\) feet and divide them into sections for different bow sizes. This ensures she maximizes the use of her ribbon without wasting any, while still looking fabulous.