Question
2rrange the three numbers hown from least to greatest. \[ \frac{2}{5}, \frac{6}{10}, \frac{2}{9} \]
Ask by Nichols Campbell. in the United States
Dec 04,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\frac{2}{9}, \frac{2}{5}, \frac{6}{10}
\]
Solution
To arrange the fractions \(\frac{2}{5}\), \(\frac{6}{10}\), and \(\frac{2}{9}\) from least to greatest, we can convert them to a common denominator or compare their decimal equivalents.
1. **Convert to decimal:**
- \(\frac{2}{5} = 0.4\)
- \(\frac{6}{10} = 0.6\)
- \(\frac{2}{9} \approx 0.222\) (since \(2 \div 9 \approx 0.222\))
2. **Compare the decimals:**
- \(0.222 < 0.4 < 0.6\)
3. **Arrange the fractions:**
- \(\frac{2}{9} < \frac{2}{5} < \frac{6}{10}\)
Thus, the order from least to greatest is:
\[
\frac{2}{9}, \frac{2}{5}, \frac{6}{10}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To compare the fractions \(\frac{2}{5}\), \(\frac{6}{10}\), and \(\frac{2}{9}\), we can convert them to a common denominator or decimal form. When converted to decimals, \(\frac{2}{5}\) equals 0.4, \(\frac{6}{10}\) equals 0.6, and \(\frac{2}{9}\) equals approximately 0.222. Therefore, arranged from least to greatest, the numbers are \(\frac{2}{9}, \frac{2}{5}, \frac{6}{10}\). The next time you're working with fractions, remember that finding a common denominator can simplify comparison significantly! It's like putting all the contestants on level ground during a race to see who really crosses the finish line first. Keep this fun strategy in your back pocket!
