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7 $-2\\frac{1}{3} - 1\\frac{1}{3}$

Question

7
$-2\frac{1}{3} - 1\frac{1}{3}$

Explanation:

Step1: Convert mixed numbers to improper fractions

\(-2\frac{1}{3}=-\frac{2\times3 + 1}{3}=-\frac{7}{3}\),\(1\frac{1}{3}=\frac{1\times3 + 1}{3}=\frac{4}{3}\),so the expression becomes \(-\frac{7}{3}-\frac{4}{3}\)。

Step2: Subtract the fractions

When subtracting fractions with the same denominator, we subtract the numerators: \(-\frac{7 + 4}{3}=-\frac{11}{3}\)。

Step3: Convert back to mixed number (optional)

\(-\frac{11}{3}=-3\frac{2}{3}\)。

Answer:

\(-3\frac{2}{3}\) (or \(-\frac{11}{3}\))