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The movement of the progress bar may be uneven becouse questions con be worth more or less indluding zero) o Subtract \( 8 \frac{1}{5}-4 \frac{2}{5} \). Simplify the answer and write as a mixed number. \( 3 \frac{4}{5} \) \( 3 \frac{1}{5} \) \( 4 \frac{4}{5} \) \( 4 \frac{1}{5} \)

Ask by Gardner Hills. in the United States
Jan 25,2025

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The answer is \( 3 \frac{4}{5} \).

Solución

To subtract \( 8 \frac{1}{5} - 4 \frac{2}{5} \) and express the result as a simplified mixed number, follow these steps: 1. **Subtract the Whole Numbers:** \[ 8 - 4 = 4 \] 2. **Subtract the Fractional Parts:** \[ \frac{1}{5} - \frac{2}{5} = -\frac{1}{5} \] 3. **Combine the Results:** \[ 4 - \frac{1}{5} = 3 \frac{4}{5} \] Here's why: - Subtracting a fraction from a whole number is the same as adding the negative of that fraction. - \( 4 - \frac{1}{5} \) can be visualized as having 4 whole units and taking away \( \frac{1}{5} \) of a unit, leaving you with \( 3 \frac{4}{5} \). **Final Answer:** \[ 3 \frac{4}{5} \] **Among the provided options, the correct answer is:** - \( \mathbf{3 \frac{4}{5}} \)

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The Deep Dive

To solve \( 8 \frac{1}{5} - 4 \frac{2}{5} \), first convert the mixed numbers to improper fractions. \( 8 \frac{1}{5} = \frac{41}{5} \) and \( 4 \frac{2}{5} = \frac{22}{5} \). Now subtract the two fractions: \[ \frac{41}{5} - \frac{22}{5} = \frac{19}{5} \] Now, convert \( \frac{19}{5} \) back to a mixed number. Dividing 19 by 5 gives you 3 with a remainder of 4, so the answer is \( 3 \frac{4}{5} \). This means the correct answer is \( 3 \frac{4}{5} \). Whether you're working with fractions, decimals, or whole numbers, mastering the fundamentals of arithmetic can make a world of difference. It's like having a superpower in math—you can tackle all sorts of challenges with confidence! Just remember, practice makes perfect, so keep at it. And if you ever find yourself stuck on fractions again, try to visualize them with pie charts or drawings! Breaking things down into parts can make understanding much easier. Don't shy away from making mistakes, as they are what help you learn and improve your skills!

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