Subjects algebra

Improper Fraction 75699B

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Question: Convert this improper fraction into a mixed number. $$\frac{37}{7} = [?]$$
1. **State the problem:** Convert the improper fraction $$\frac{37}{7}$$ 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 and a remainder, then writing it as $$\text{quotient} \frac{\text{remainder}}{b}$$. 3. **Perform the division:** Divide $$37$$ by $$7$$. $$37 \div 7 = 5 \text{ remainder } 2$$ 4. **Write the mixed number:** The quotient is $$5$$ and the remainder is $$2$$, so the mixed number is: $$5 \frac{2}{7}$$ 5. **Show intermediate cancellation (not applicable here as fraction is already simplified).** 6. **Final answer:** $$\boxed{5 \frac{2}{7}}$$