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Divide. Write your answer in simplest form. -(5)/(7)÷(1)/(5)=?

Divide.\newlineWrite your answer in simplest form.\newline−57÷15=? -\frac{5}{7} \div \frac{1}{5}=?

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Multiply and divide rational expressionsright chevron icon

Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline−57÷15=? -\frac{5}{7} \div \frac{1}{5}=?
  1. Multiply fractions by reciprocal: To divide fractions, multiply the first fraction by the reciprocal of the second fraction.\newlineSo, we have: −(57)×(51)-(\frac{5}{7}) \times (\frac{5}{1}).
  2. Multiply numerators and denominators: Now, multiply the numerators and the denominators.\newlineNumerator: −5×5=−25-5 \times 5 = -25.\newlineDenominator: 7×1=77 \times 1 = 7.
  3. Simplify the fraction: The fraction is now −257-\frac{25}{7}. This is the simplest form since 2525 and 77 have no common factors other than 11.

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