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Divide. Simplify your answer.\newline15su16s÷15s2u\frac{15su}{16s} \div 15s^2u

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Full solution

Q. Divide. Simplify your answer.\newline15su16s÷15s2u\frac{15su}{16s} \div 15s^2u
  1. Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, (15su16s)÷(15s2u)(\frac{15su}{16s}) \div (15s^2u) becomes (15su16s)×(115s2u)(\frac{15su}{16s}) \times (\frac{1}{15s^2u}).
  2. Simplify by canceling factors: Simplify the expression by canceling out common factors. In the numerator, 15su15su can be simplified with 15s2u15s^2u by canceling out 15s15s. In the denominator, 16s16s can be simplified by canceling out ss.
  3. Further simplify by canceling: After canceling out the common factors, the expression becomes (u16)×(1su)(\frac{u}{16}) \times (\frac{1}{su}). Here, uu in the numerator and denominator can also be canceled out.
  4. Multiply simplified fractions: Multiplying the simplified fractions (116)×(1s)(\frac{1}{16}) \times (\frac{1}{s}) gives us 116s\frac{1}{16s}.
  5. Final answer in simplest form: The final answer is in its simplest form, as there are no common factors left to cancel out and the expression cannot be simplified further.

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