Question

A bag contains six-eighths of a pound of pistachios and four-cighths pound of almonds. What is the total weight of the nuts in the bag? The total weight of the nuts is \( \qquad \) pounds.

Ask by Sanders Rojas. in the United States
Mar 11,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The total weight of the nuts in the bag is \(1\frac{1}{4}\) pounds or 1.25 pounds.

Solution

To find the total weight of the nuts in the bag, we need to add the weight of the pistachios and the weight of the almonds. Given: - Weight of pistachios = 6/8 pounds - Weight of almonds = 4/8 pounds To find the total weight, we can add the weights of pistachios and almonds. Total weight = Weight of pistachios + Weight of almonds Let's calculate the total weight. Calculate the value by following steps: - step0: Calculate: \(\frac{6}{8}+\frac{4}{8}\) - step1: Reduce the fraction: \(\frac{3}{4}+\frac{4}{8}\) - step2: Reduce the fraction: \(\frac{3}{4}+\frac{1}{2}\) - step3: Reduce fractions to a common denominator: \(\frac{3}{4}+\frac{2}{2\times 2}\) - step4: Multiply the numbers: \(\frac{3}{4}+\frac{2}{4}\) - step5: Transform the expression: \(\frac{3+2}{4}\) - step6: Add the numbers: \(\frac{5}{4}\) The total weight of the nuts in the bag is \(1\frac{1}{4}\) pounds or 1.25 pounds.

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Extra Insights

To find the total weight of the nuts in the bag, simply add the weights of the pistachios and almonds together. You have six-eighths (which equals 0.75 pounds) of pistachios and four-eighths (which equals 0.5 pounds) of almonds. So, 0.75 + 0.5 = 1.25 pounds. Therefore, the total weight of the nuts is \(1.25\) pounds. Now, didn't you just get a little taste of fraction fun? This kind of math isn’t just numbers on a page; it’s the same kind of addition we use when we’re measuring ingredients for a delicious nut butter or a trail mix! When dealing with fractions, it’s easy to make mistakes with the denominators. A common pitfall is forgetting to convert them to the same base before adding. Always check your calculations, especially with fractions, to ensure you’ve accurately aligned those pesky denominators!

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