Divide. Simplify your answer. 15su/16s ÷ 15s^2u ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, (15su/16s) ÷ (15s^2u) becomes (15su/16s) × (1/(15s^2u)).Simplify by canceling factors: Simplify the expression by canceling out common factors. In the numerator, 15su can be simplified with 15s^2u by canceling out 15s. In the denominator, 16s can be simplified by canceling out s.Further simplify by canceling: After canceling out the common factors, the expression becomes (u/16) × (1/su). Here, u in the numerator and denominator can also be canceled out.Multiply simplified fractions: Multiplying the simplified fractions (1/16) × (1/s) gives us 1/(16s).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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Divide. Simplify your answer. $\newline$ $\frac{15su}{16s} \div 15s^2u$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Simplify your answer.

\newline

\frac{15su}{16s} \div 15s^2u

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, $(\frac{15su}{16s}) \div (15s^2u)$ becomes $(\frac{15su}{16s}) \times (\frac{1}{15s^2u})$ .
Simplify by canceling factors: Simplify the expression by canceling out common factors. In the numerator, $15su$ can be simplified with $15s^2u$ by canceling out $15s$ . In the denominator, $16s$ can be simplified by canceling out $s$ .
Further simplify by canceling: After canceling out the common factors, the expression becomes $(\frac{u}{16}) \times (\frac{1}{su})$ . Here, $u$ in the numerator and denominator can also be canceled out.
Multiply simplified fractions: Multiplying the simplified fractions $(\frac{1}{16}) \times (\frac{1}{s})$ gives us $\frac{1}{16s}$ .
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.