Divide. Simplify your answer. 19s^2u/12su^2 ÷ 3s ______

Rewrite Division: Rewrite the division as multiplication by the reciprocal of the second fraction. So, (19s^2u/12su^2) ÷ 3s becomes (19s^2u/12su^2) × (1/3s).Multiply Numerators and Denominators: Multiply the numerators and then multiply the denominators. So, (19s^2u/12su^2) × (1/3s) becomes (19s^2u × 1)/(12su^2 × 3s).Perform Multiplication: Perform the multiplication in the numerator and the denominator. The numerator is simply 19s^2u, and the denominator is 12su^2 × 3s, which simplifies to 36s^2u^2.Simplify Fraction: Simplify the fraction by canceling out common factors. The s^2 in the numerator and one s^2 in the denominator cancel out, and the u in the numerator cancels out one u in the denominator. This leaves us with 19/36su.Check for Further Simplification: Check for any further simplification. Since 19 and 36 have no common factors and s and u are not like terms, the fraction is already in its simplest form.

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Simplify your answer.

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\frac{19s^2u}{12su^2} \div 3s

Rewrite Division: Rewrite the division as multiplication by the reciprocal of the second fraction. So, $(\frac{19s^2u}{12su^2}) \div 3s$ becomes $(\frac{19s^2u}{12su^2}) \times (\frac{1}{3s})$ .
Multiply Numerators and Denominators: Multiply the numerators and then multiply the denominators. So, $(\frac{19s^2u}{12su^2}) \times (\frac{1}{3s})$ becomes $(\frac{19s^2u \times 1}{12su^2 \times 3s})$ .
Perform Multiplication: Perform the multiplication in the numerator and the denominator. The numerator is simply $19s^2u$ , and the denominator is $12su^2 \times 3s$ , which simplifies to $36s^2u^2$ .
Simplify Fraction: Simplify the fraction by canceling out common factors. The $s^2$ in the numerator and one $s^2$ in the denominator cancel out, and the $u$ in the numerator cancels out one $u$ in the denominator. This leaves us with $\frac{19}{36su}.$
Check for Further Simplification: Check for any further simplification. Since $19$ and $36$ have no common factors and $s$ and $u$ are not like terms, the fraction is already in its simplest form.