Subjects algebra

Improper Fraction 18Fc2A

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Question: Convert this improper fraction into a mixed number. $$\frac{17}{6} = [?] [ ]/[ ]$$
1. **State the problem:** Convert the improper fraction $$\frac{17}{6}$$ into a mixed number. 2. **Recall the formula:** An improper fraction $$\frac{a}{b}$$ can be converted to a mixed number by dividing $$a$$ by $$b$$ to get a quotient (whole number) and a remainder. The mixed number is then $$\text{quotient} \ \frac{\text{remainder}}{b}$$. 3. **Perform the division:** Divide $$17$$ by $$6$$. $$17 \div 6 = 2 \text{ remainder } 5$$ 4. **Write the mixed number:** The quotient is $$2$$ and the remainder is $$5$$, so the mixed number is: $$2 \ \frac{5}{6}$$ 5. **Explain:** This means $$17/6$$ is the same as $$2$$ whole parts plus $$5/6$$ of another part. **Final answer:** $$2 \ \frac{5}{6}$$