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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?

Ask by Park Savage. in the United States
Dec 06,2024

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The pattern calls for \( 25 \frac{1}{24} \) yards of lace trim.

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The Deep Dive

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.

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