Question
Arrange these fractions from the smallest to the greatest. \[ \frac{1}{3}, \frac{1}{2}, \frac{1}{5} \]
Ask by Mills Harris. in Singapore
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The fractions arranged from smallest to greatest are \( \frac{1}{5}, \frac{1}{3}, \frac{1}{2} \).
Solution
1. Convert each fraction to its decimal form:
- \( \frac{1}{3} \approx 0.333 \)
- \( \frac{1}{2} = 0.5 \)
- \( \frac{1}{5} = 0.2 \)
2. Compare the decimal values:
- \( 0.2 < 0.333 < 0.5 \)
3. Therefore, the fractions arranged from smallest to greatest are:
\[
\frac{1}{5},\ \frac{1}{3},\ \frac{1}{2}
\]
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Simplify this solution The Deep Dive
To arrange the fractions \(\frac{1}{3}, \frac{1}{2}, \frac{1}{5}\) from smallest to greatest, first, we need to convert them to a common denominator or simply compare their decimal equivalents. - \(\frac{1}{3} \approx 0.33\) - \(\frac{1}{2} = 0.5\) - \(\frac{1}{5} = 0.2\) Now that we have the decimal values, we can see that the order from smallest to greatest is: \(\frac{1}{5}, \frac{1}{3}, \frac{1}{2}\).
