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To order the expressions from least to greatest, we first convert the mixed numbers to improper fractions or decimal form, if necessary. Here are the values of the expressions:
1. **-4 6/7** = -4.857 (approximately)
2. **4 2/7** = 4.285 (approximately)
3. **4 3/7** = 4.428 (approximately)
4. **5 1/7** = 5.143 (approximately)
5. **5 3/7** = 5.428 (approximately)
Now we can arrange them from least to greatest:
1. **-4 6/7**
2. **4 2/7**
3. **4 3/7**
4. **5 1/7**
5. **5 3/7**
So the order from least to greatest is:
**-4 6/7, 4 2/7, 4 3/7, 5 1/7, 5 3/7**.