13. Alicia measured \( \frac{1}{4} \) yard of the 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 comm denominator. HINT: 1 yard \( =3 \) feet; 1 foot \( =12 \) inches
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To rename the lengths of fabric in inches, begin by converting yards to inches. Since 1 yard equals 36 inches (because 1 yard = 3 feet and 1 foot = 12 inches, thus 3 x 12 = 36), you can calculate the lengths. For \( \frac{1}{4} \) yard, multiply \( \frac{1}{4} \) by 36 to get 9 inches. For \( \frac{5}{6} \) yard, multiply \( \frac{5}{6} \) by 36, which gives you 30 inches. So, Alicia has 9 inches of one fabric and 30 inches of Yellow Bonnets fabric! When working with fractions, especially when converting measurements, a common mistake is forgetting to convert entirely to the same unit before performing operations or comparisons. Always remember to ensure the units align! Before adding or subtracting, make sure that both measurements are in the same unit, in this case, inches. This will help avoid incorrect answers and make any future calculations much smoother!