Question
Which fraction listed would complete the inequality correctly? \( \frac{5}{10}>? \)
Ask by Mcfarlane Reyes. in the United States
Jan 23,2025
Upstudy AI Solution
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.
Answered by UpStudy AI and reviewed by a Professional Tutor
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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!