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Answer :
To find the unit rate for pounds per magazine, we need to determine how much one magazine weighs when the total weight of the magazines is given. Here’s how you can solve the problem:
1. Understand the Problem: We know that 4 magazines together weigh [tex]\(\frac{3}{8}\)[/tex] pound. We need to find out how much one magazine weighs, which is the unit rate in pounds per magazine.
2. Set Up the Equation: The total weight of the magazines is [tex]\(\frac{3}{8}\)[/tex] pound, and the number of magazines is 4. You can find the weight of one magazine by dividing the total weight by the number of magazines.
3. Perform the Division:
- Total weight of all magazines = [tex]\(\frac{3}{8}\)[/tex] pound.
- Number of magazines = 4.
- Weight of one magazine = [tex]\(\frac{3}{8} \div 4\)[/tex].
4. Calculate the Unit Rate:
- Dividing [tex]\(\frac{3}{8}\)[/tex] by 4 is the same as multiplying [tex]\(\frac{3}{8}\)[/tex] by the reciprocal of 4, which is [tex]\(\frac{1}{4}\)[/tex].
- [tex]\(\frac{3}{8} \times \frac{1}{4} = \frac{3 \times 1}{8 \times 4} = \frac{3}{32}\)[/tex].
Therefore, each magazine weighs [tex]\(\frac{3}{32}\)[/tex] pounds.
In decimal form, [tex]\(\frac{3}{32}\)[/tex] is approximately 0.09375 pounds per magazine. This is the unit rate, meaning each magazine weighs about 0.09375 pounds.
1. Understand the Problem: We know that 4 magazines together weigh [tex]\(\frac{3}{8}\)[/tex] pound. We need to find out how much one magazine weighs, which is the unit rate in pounds per magazine.
2. Set Up the Equation: The total weight of the magazines is [tex]\(\frac{3}{8}\)[/tex] pound, and the number of magazines is 4. You can find the weight of one magazine by dividing the total weight by the number of magazines.
3. Perform the Division:
- Total weight of all magazines = [tex]\(\frac{3}{8}\)[/tex] pound.
- Number of magazines = 4.
- Weight of one magazine = [tex]\(\frac{3}{8} \div 4\)[/tex].
4. Calculate the Unit Rate:
- Dividing [tex]\(\frac{3}{8}\)[/tex] by 4 is the same as multiplying [tex]\(\frac{3}{8}\)[/tex] by the reciprocal of 4, which is [tex]\(\frac{1}{4}\)[/tex].
- [tex]\(\frac{3}{8} \times \frac{1}{4} = \frac{3 \times 1}{8 \times 4} = \frac{3}{32}\)[/tex].
Therefore, each magazine weighs [tex]\(\frac{3}{32}\)[/tex] pounds.
In decimal form, [tex]\(\frac{3}{32}\)[/tex] is approximately 0.09375 pounds per magazine. This is the unit rate, meaning each magazine weighs about 0.09375 pounds.
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