Question
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Which fraction listed would complete the inequality correctly? \( \frac{5}{10}>? \)

Ask by Mcfarlane Reyes. in the United States
Jan 23,2025

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Tutor-Verified Answer

Answer

Choose any fraction less than \(\frac{1}{2}\) to complete the inequality correctly.

Solution

It looks like you're working on an inequality involving fractions: \[ \frac{5}{10} > ? \] To complete this inequality correctly, you need to choose a fraction that is **less than** \(\frac{5}{10}\). ### Simplifying \(\frac{5}{10}\): First, let's simplify \(\frac{5}{10}\): \[ \frac{5}{10} = \frac{1}{2} \] So, the inequality becomes: \[ \frac{1}{2} > ? \] ### Choosing a Fraction Less Than \(\frac{1}{2}\): Any fraction that is less than \(\frac{1}{2}\) will satisfy the inequality. Here are a few examples: - \(\frac{1}{3}\) (approximately 0.333) - \(\frac{2}{5}\) (0.4) - \(\frac{3}{8}\) (0.375) - \(\frac{4}{10}\) (which simplifies to \(\frac{2}{5}\)) ### Example Completion: If you have a list of fractions to choose from, pick one that is smaller than \(\frac{1}{2}\). For instance: \[ \frac{5}{10} > \frac{2}{5} \] Since: \[ \frac{5}{10} = \frac{1}{2} > \frac{2}{5} = 0.4 \] ### Summary: To correctly complete the inequality \(\frac{5}{10} > ?\), choose any fraction that is less than \(\frac{1}{2}\) or \( \frac{5}{10} \). If you have specific options to choose from, select the one with the smallest value.

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The Deep Dive

To solve this, it's helpful to remember that \( \frac{5}{10} \) simplifies to \( \frac{1}{2} \). Therefore, any fraction greater than \( \frac{1}{2} \) will complete the inequality correctly. For instance, \( \frac{6}{10} \) or \( \frac{3}{5} \) would work perfectly! When working with fractions, a common mistake is forgetting to simplify or compare them accurately. Always ensure you're comparing like fractions by finding a common denominator or simplifying correctly before you conclude!

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