Subjects algebra

Fraction To Mixed 321645

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1. The problem is to convert the improper fraction $-\frac{1}{7}$ into a mixed number. 2. A mixed number consists of an integer part and a proper fraction part. 3. Since $-\frac{1}{7}$ is already a proper fraction (numerator smaller than denominator), it cannot be expressed as a mixed number with a nonzero integer part. 4. Therefore, $-\frac{1}{7}$ as a mixed number is $-0 \frac{1}{7}$, which is simply $-\frac{1}{7}$. 5. If the fraction were something like $-\frac{8}{7}$, then it would be converted as follows: $$-\frac{8}{7} = -1 \frac{1}{7}$$ 6. But since the numerator is less than the denominator in $-\frac{1}{7}$, the mixed number form is just $-\frac{1}{7}$ itself. Final answer: $-\frac{1}{7}$