Bot GPT 4-o mini To put the fractions and mixed numbers in numeric order from smallest to largest, we'll convert all the mixed numbers and fractions into decimal form or compare them directly. Let's analyze each set provided:
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Set 1:
- \( \frac{7}{9} \approx 0.777 \)
- \( 1 \frac{3}{6} = 1.5 \)
- \( 1 \frac{7}{8} = 1.875 \)
- \( 2 \frac{3}{5} = 2.6 \)
Ordering them:
- \( \frac{7}{9} \) (0.777)
- \( 1 \frac{3}{6} \) (1.5)
- \( 1 \frac{7}{8} \) (1.875)
- \( 2 \frac{3}{5} \) (2.6)
Order: \( \frac{7}{9}, 1 \frac{3}{6}, 1 \frac{7}{8}, 2 \frac{3}{5} \)
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Set 2:
- \( \frac{13}{15} \approx 0.867 \)
- \( \frac{15}{8} = 1.875 \)
- \( \frac{9}{6} = 1.5 \)
- \( \frac{7}{9} \approx 0.777 \)
Ordering them:
- \( \frac{7}{9} \) (0.777)
- \( \frac{13}{15} \) (0.867)
- \( \frac{9}{6} \) (1.5)
- \( \frac{15}{8} \) (1.875)
Order: \( \frac{7}{9}, \frac{13}{15}, \frac{9}{6}, \frac{15}{8} \)
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Set 3:
- \( 235 \) (as it is, 2.35)
- \( 178 \) (as it is, 1.78)
- \( 136 \) (as it is, 1.36)
- \( 79 \) (as it is, 0.79)
Ordering them:
- \( 79 \)
- \( 136 \)
- \( 178 \)
- \( 235 \)
Order: \( 79, 136, 178, 235 \)
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Set 4:
- \( 79 \) (as is, 0.79)
- \( 106 \) (as is, 1.06)
- \( 1618 \) (as is, 16.18)
- \( 135 \) (as is, 1.35)
Ordering them:
- \( 79 \)
- \( 106 \)
- \( 135 \)
- \( 1618 \)
Order: \( 79, 106, 135, 1618 \)
Now, let's summarize the numeric order of the fractions and mixed numbers from the sets presented:
- Set 1: \( \frac{7}{9}, 1 \frac{3}{6}, 1 \frac{7}{8}, 2 \frac{3}{5} \)
- Set 2: \( \frac{7}{9}, \frac{13}{15}, \frac{9}{6}, \frac{15}{8} \)
- Set 3: \( 79, 136, 178, 235 \)
- Set 4: \( 79, 106, 135, 1618 \)
Conclusion:
The fraction and mixed number order from smallest to largest for each set is as stated above.
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