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Divide. Write your answer in simplest form. \newline3s2÷4s51\frac{3}{s^2} \div \frac{4s - 5}{1}

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Q. Divide. Write your answer in simplest form. \newline3s2÷4s51\frac{3}{s^2} \div \frac{4s - 5}{1}
  1. Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, 3s2÷(4s5)\frac{3}{s^2} \div (4s - 5) becomes 3s2×1(4s5)\frac{3}{s^2} \times \frac{1}{(4s - 5)}.
  2. Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, 3s2×14s5=3s2(4s5)\frac{3}{s^2} \times \frac{1}{4s - 5} = \frac{3}{s^2(4s - 5)}.
  3. Simplify if possible: Simplify the denominator if possible. In this case, s2(4s5)s^2(4s - 5) cannot be simplified further, so the expression remains 3s2(4s5)\frac{3}{s^2(4s - 5)}.
  4. Write in simplest form: Write the answer in the simplest form. So, 3s2(4s5)\frac{3}{s^2(4s - 5)} is already in its simplest form.

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