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2 A bolle of La Belle Boouf contains \( \frac{3}{8} \) ounce of perfume. How many ounces of pertune would \( 4 \frac{1}{2} \) bottes contain? \[ \begin{array}{lll}\text { F } 1 \frac{1}{2} & \text { H } 1 \frac{11}{16} \\ 64 \frac{2}{5} & \text { \& } 4 \frac{7}{8}\end{array} \]

Ask by Joseph Henry. in the United States
Jan 31,2025

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Answer

\( 4 \frac{1}{2} \) bottles contain \( 1 \frac{11}{16} \) ounces of perfume.

Solution

To determine how many ounces of perfume are in \( 4 \frac{1}{2} \) bottles of La Belle Bouff, follow these steps: ### Given: - **Perfume per bottle:** \( \frac{3}{8} \) ounce - **Number of bottles:** \( 4 \frac{1}{2} \) bottles ### Step 1: Convert Mixed Numbers to Improper Fractions First, convert \( 4 \frac{1}{2} \) to an improper fraction: \[ 4 \frac{1}{2} = \frac{(4 \times 2) + 1}{2} = \frac{9}{2} \] ### Step 2: Multiply the Ounces per Bottle by the Number of Bottles Multiply \( \frac{3}{8} \) ounce by \( \frac{9}{2} \) bottles: \[ \frac{3}{8} \times \frac{9}{2} = \frac{3 \times 9}{8 \times 2} = \frac{27}{16} \] ### Step 3: Convert the Result Back to a Mixed Number Convert \( \frac{27}{16} \) to a mixed number: \[ \frac{27}{16} = 1 \frac{11}{16} \] ### **Answer:** \( 4 \frac{1}{2} \) bottles contain **\( 1 \frac{11}{16} \) ounces** of perfume. --- ### **Summary of Calculations:** \[ \frac{3}{8} \text{ oz/bottle} \times 4 \frac{1}{2} \text{ bottles} = \frac{3}{8} \times \frac{9}{2} = \frac{27}{16} = 1 \frac{11}{16} \text{ oz} \]

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To find out how many ounces of perfume are in \( 4 \frac{1}{2} \) bottles, we first convert \( 4 \frac{1}{2} \) to an improper fraction, which is \( \frac{9}{2} \). Then, we multiply \( \frac{3}{8} \) (the amount of perfume in one bottle) by \( \frac{9}{2} \): \[ \frac{3}{8} \times \frac{9}{2} = \frac{27}{16} \] To convert \( \frac{27}{16} \) to a mixed number, we divide 27 by 16, which gives us \( 1 \frac{11}{16} \) ounces of perfume in \( 4 \frac{1}{2} \) bottles. Now, for a touch of flair: Imagine you’re at a perfume shop, where each bottle of La Belle Boouf is a potion of enchanting aromas. If happy scents were gold, you'd have just over a cup of sparkling fragrance ready to transform your space into a fragrant paradise! And if you're looking to impress someone at a party with your newfound knowledge, share that multiplying fractions can often be simplified. Keep those numerators and denominators straight, and watch out for those pesky mistakes—forgetting to convert mixed numbers into improper ones is a classic pitfall. With practice, you’ll be breezing through these calculations like a pro!

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