Question:
Which of the following fractions has the highest value: \( \frac{3}{5}, \frac{4}{3}, \frac{2}{5}, \frac{1}{2} \)
Which of the following fractions has the highest value: \( \frac{3}{5}, \frac{4}{3}, \frac{2}{5}, \frac{1}{2} \)
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When comparing fractions with different denominators, converting them to decimals or finding a common denominator can quickly reveal the largest.
Updated On: Aug 12, 2025
- \( \frac{3}{5} \)
- \( \frac{4}{3} \)
- \( \frac{2}{5} \)
- \( \frac{1}{2} \)
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The Correct Option is B
Solution and Explanation
To determine which fraction has the highest value among \(\frac{3}{5}\), \(\frac{4}{3}\), \(\frac{2}{5}\), and \(\frac{1}{2}\), we can convert each fraction to a decimal value or compare them by their numerical sizes. Here are the steps:
- Convert each fraction to a decimal:
- \(\frac{3}{5} = 0.6\)
- \(\frac{4}{3} \approx 1.333\)
- \(\frac{2}{5} = 0.4\)
- \(\frac{1}{2} = 0.5\)
- Compare these decimal values:
- \(0.6\)
- \(1.333\)
- \(0.4\)
- \(0.5\)
- The highest value among these decimals is \(1.333\), which corresponds to the fraction \(\frac{4}{3}\).
Therefore, the fraction \(\frac{4}{3}\) has the highest value.
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