To compare the mixed numbers, let's first convert them to improper fractions:
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\(2 \frac{3}{6} = \frac{2 \times 6 + 3}{6} = \frac{12 + 3}{6} = \frac{15}{6} = \frac{5}{2}\)
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\(4 \frac{1}{3} = \frac{4 \times 3 + 1}{3} = \frac{12 + 1}{3} = \frac{13}{3}\)
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\(1 \frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4}\)
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\(1 \frac{4}{5} = \frac{1 \times 5 + 4}{5} = \frac{5 + 4}{5} = \frac{9}{5}\)
Now, to compare these fractions, we can either find a common denominator or convert them to decimal form.
Converting to decimals:
- \( \frac{5}{2} = 2.5\)
- \( \frac{13}{3} \approx 4.33\) (which is \(4.333...\))
- \( \frac{7}{4} = 1.75\)
- \( \frac{9}{5} = 1.8\)
Now, arrange in order from least to greatest:
- \(1 \frac{3}{4} (1.75)\)
- \(1 \frac{4}{5} (1.8)\)
- \(2 \frac{3}{6} (2.5)\)
- \(4 \frac{1}{3} (4.33)\)
Thus, the order from least to greatest is:
- \(1 \frac{3}{4}\)
- \(1 \frac{4}{5}\)
- \(2 \frac{3}{6}\)
- \(4 \frac{1}{3}\)