15. Alcia measured \( \frac{1}{4} \) yard of the Blue Diamonds fabric and \( \frac{5}{6} \) yard of the Yellow Bonnets fabric to make a quilt. Rename each length of fabric. Use the number of inches in a yard as a common denominator.

To convert the lengths from yards to inches, we multiply each fraction by 36 (since there are 36 inches in a yard). For the Blue Diamonds fabric, \( \frac{1}{4} \) yard becomes \( \frac{1}{4} \times 36 = 9 \) inches. For the Yellow Bonnets fabric, \( \frac{5}{6} \) yard transforms to \( \frac{5}{6} \times 36 = 30 \) inches. So, Alcia has 9 inches of Blue Diamonds and 30 inches of Yellow Bonnets! When working with fractions and conversions, it’s essential to keep track of your units and ensure they match. A common mistake is forgetting to convert all fractions to the same unit before performing operations. Double-check your conversions, as small errors can lead to confusion in the end result, especially if you're planning to combine or compare the lengths!