Divide. Write your answer in simplest form. 2k - 5/k + 4 ÷ (2k - 5) ______

Rewrite Division: Rewrite the division as multiplication by the reciprocal. The division of two fractions can be rewritten as the multiplication of the first fraction by the reciprocal of the second fraction. (2k - 5)/(k + 4) ÷ (2k - 5) can be rewritten as (2k - 5)/(k + 4) * 1/(2k - 5).Multiply Numerators: Multiply the numerators and the denominators. When multiplying fractions, we multiply the numerators together and the denominators together. (2k - 5)/(k + 4) * 1/(2k - 5) = (2k - 5) * 1 / ((k + 4) * (2k - 5)).Simplify Expression: Simplify the expression. We can cancel out the common factor (2k - 5) in the numerator and the denominator. (2k - 5) * 1 / ((k + 4) * (2k - 5)) = 1 / (k + 4).

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Divide. Write your answer in simplest form. $\newline$ $\frac{2k - 5}{k + 4} \div (2k - 5)$

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Algebra 2

Multiply and divide rational expressions

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Q. Divide. Write your answer in simplest form.

\newline

\frac{2k - 5}{k + 4} \div (2k - 5)

Rewrite Division: Rewrite the division as multiplication by the reciprocal. $\newline$ The division of two fractions can be rewritten as the multiplication of the first fraction by the reciprocal of the second fraction. $\newline$ $(2k - 5)/(k + 4) \div (2k - 5)$ can be rewritten as $(2k - 5)/(k + 4) \times 1/(2k - 5)$ .
Multiply Numerators: Multiply the numerators and the denominators. $\newline$ When multiplying fractions, we multiply the numerators together and the denominators together. $\newline$ $(2k - 5)/(k + 4) \times 1/(2k - 5) = (2k - 5) \times 1 / ((k + 4) \times (2k - 5))$ .
Simplify Expression: Simplify the expression. $\newline$ We can cancel out the common factor $(2k - 5)$ in the numerator and the denominator. $\newline$ $(2k - 5) \times 1 / ((k + 4) \times (2k - 5)) = 1 / (k + 4)$ .