To compare the mixed numbers and arrange them from largest to smallest, it's helpful to convert each mixed number to an improper fraction or a decimal. Here’s how to do that for each mixed number:
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Convert the mixed numbers to improper fractions:
- \(2 \frac{3}{6} = 2 + \frac{3}{6} = \frac{12}{6} + \frac{3}{6} = \frac{15}{6}\)
- \(4 \frac{1}{3} = 4 + \frac{1}{3} = \frac{12}{3} + \frac{1}{3} = \frac{13}{3}\)
- \(1 \frac{3}{4} = 1 + \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4}\)
- \(1 \frac{4}{5} = 1 + \frac{4}{5} = \frac{5}{5} + \frac{4}{5} = \frac{9}{5}\)
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Convert fractions to a common denominator for comparison or convert to decimal:
- Decimal equivalents:
- \(2 \frac{3}{6} = 2.5\)
- \(4 \frac{1}{3} \approx 4.33\)
- \(1 \frac{3}{4} = 1.75\)
- \(1 \frac{4}{5} = 1.8\)
- Decimal equivalents:
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List the decimal equivalents:
- \(2.5\)
- \(4.33\)
- \(1.75\)
- \(1.8\)
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Order the values from largest to smallest:
- \(4.33\) (which corresponds to \(4 \frac{1}{3}\))
- \(2.5\) (which corresponds to \(2 \frac{3}{6}\))
- \(1.8\) (which corresponds to \(1 \frac{4}{5}\))
- \(1.75\) (which corresponds to \(1 \frac{3}{4}\))
Final Order from Largest to Smallest:
- \(4 \frac{1}{3}\)
- \(2 \frac{3}{6}\)
- \(1 \frac{4}{5}\)
- \(1 \frac{3}{4}\)
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