A pattern for a wedding outfit calls for \( 16 \frac{2}{3} \) yards of lace trim for the dress and \( 8 \frac{3}{8} \) yards of lace trim for the veil. How many yards of lace trim does the pattern call for?
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To find the total amount of lace trim required for the wedding outfit, we need to add the two measurements together. First, convert the mixed numbers into improper fractions: - For the dress: \( 16 \frac{2}{3} = \frac{50}{3} \) yards - For the veil: \( 8 \frac{3}{8} = \frac{67}{8} \) yards Next, we need to find a common denominator to add these fractions. The least common multiple of 3 and 8 is 24. Convert both fractions: - Dress: \( \frac{50}{3} = \frac{50 \times 8}{3 \times 8} = \frac{400}{24} \) - Veil: \( \frac{67}{8} = \frac{67 \times 3}{8 \times 3} = \frac{201}{24} \) Now, add the two fractions: \[ \frac{400}{24} + \frac{201}{24} = \frac{400 + 201}{24} = \frac{601}{24} \] Finally, convert the improper fraction back to a mixed number: \( \frac{601}{24} = 25 \frac{1}{24} \) So, the total amount of lace trim required is \( 25 \frac{1}{24} \) yards.