To add the two mixed numbers, -1 1/3 and -4 2/3, follow these steps:
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Convert mixed numbers to improper fractions:
- For -1 1/3:
\[ -1 \frac{1}{3} = -\left(\frac{3 \times 1 + 1}{3}\right) = -\frac{4}{3} \] - For -4 2/3:
\[ -4 \frac{2}{3} = -\left(\frac{3 \times 4 + 2}{3}\right) = -\frac{14}{3} \]
- For -1 1/3:
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Add the improper fractions:
- Now, add the two fractions: \[ -\frac{4}{3} + -\frac{14}{3} = -\frac{4 + 14}{3} = -\frac{18}{3} \]
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Simplify the result:
- Simplifying -\frac{18}{3} gives: \[ -\frac{18}{3} = -6 \]
Therefore, the sum of -1 1/3 and -4 2/3 is \(-6\).