Divide. Simplify your answer. 19w^2x^2/19wx ÷ 20w^2x^2 ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, (19w^2x^2/19wx) ÷ (20w^2x^2) becomes (19w^2x^2/19wx) × (1/20w^2x^2).Simplify first fraction: Simplify the first fraction by canceling out common factors. In the numerator and denominator, we have a common factor of 19wx. So, (19w^2x^2/19wx) simplifies to (w^2x^2/wx) which further simplifies to wx.Multiply by reciprocal: Now multiply the simplified first fraction by the reciprocal of the second fraction. So, wx × (1/20w^2x^2) = wx/(20w^2x^2).Simplify resulting fraction: Simplify the resulting fraction by canceling out common factors. In the numerator and denominator, we have common factors of w and x. So, wx/(20w^2x^2) simplifies to 1/(20wx).

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Divide. Simplify your answer. $\newline$ $\frac{19w^2x^2}{19wx} \div 20w^2x^2$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Simplify your answer.

\newline

\frac{19w^2x^2}{19wx} \div 20w^2x^2

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, $(19w^2x^2/19wx) \div (20w^2x^2)$ becomes $(19w^2x^2/19wx) \times (1/20w^2x^2)$ .
Simplify first fraction: Simplify the first fraction by canceling out common factors. In the numerator and denominator, we have a common factor of $19wx$ . So, $\frac{19w^2x^2}{19wx}$ simplifies to $\frac{w^2x^2}{wx}$ which further simplifies to $wx$ .
Multiply by reciprocal: Now multiply the simplified first fraction by the reciprocal of the second fraction. So, $wx \times (1/20w^2x^2) = \frac{wx}{20w^2x^2}.$
Simplify resulting fraction: Simplify the resulting fraction by canceling out common factors. In the numerator and denominator, we have common factors of $w$ and $x$ . So, $\frac{wx}{20w^2x^2}$ simplifies to $\frac{1}{20wx}$ .