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4. Susan must pour \( 6 \frac{1}{2} \) bottles of juice into 26 drink glasses for her party. If each glass gets the same amount of juice, what fraction of a bottle will each glass hold? Each glass will hold __ bottle.

Ask by Ramirez Campbell. in the United States
Feb 25,2025

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Tutor-Verified Answer

Answer

Each glass will hold \( \frac{1}{4} \) bottle.

Solution

To solve this, first convert 6 1/2 into an improper fraction: 6 1/2 = (2×6 + 1)/2 = 13/2. Now, divide the total juice by the number of glasses: (13/2) ÷ 26 = (13/2) × (1/26). Multiply the numerators and the denominators: = 13/(2×26) = 13/52. Since 13/52 simplifies to 1/4 (dividing both by 13), each glass will hold 1/4 bottle.

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Bonus Knowledge

To find out how much juice each glass will hold, we first convert \( 6 \frac{1}{2} \) into an improper fraction, which is \( \frac{13}{2} \) bottles. Next, we divide this amount by the 26 glasses: \[ \text{Juice per glass} = \frac{\frac{13}{2}}{26} = \frac{13}{2} \times \frac{1}{26} = \frac{13}{52} = \frac{1}{4}. \] Thus, each glass will hold \( \frac{1}{4} \) of a bottle. Now let's celebrate that juicy math victory! 🍹 Those drink glasses and a party really know how to squeeze out the fun! Picture this: every time a glass is filled, it’s like raising a toast to teamwork and sharing. 🍸 So, next time you’re prepping for a gathering, just remember math isn't just about numbers; it's also about creating joyful moments with friends!

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