Divide. Write your answer in simplest form. 4y - 5/6y ÷ (y - 4) ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, (4y - 5)/(6y) ÷ (y - 4) becomes (4y - 5)/(6y) × 1/(y - 4).Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, (4y - 5)/(6y) × 1/(y - 4) = (4y - 5)/((6y)(y - 4)).Simplify denominator: Simplify the denominator. So, (6y)(y - 4) = 6y^2 - 24y.Write in simplest form: Write the answer in the simplest form. So, (4y - 5)/((6y)(y - 4)) = (4y - 5)/(6y^2 - 24y).

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Divide. Write your answer in simplest form. $\newline$ $\frac{4y - 5}{6y} \div (y - 4)$

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Algebra 1

Multiply and divide rational expressions

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Q. Divide. Write your answer in simplest form.

\newline

\frac{4y - 5}{6y} \div (y - 4)

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, $(4y - 5)/(6y) \div (y - 4)$ becomes $(4y - 5)/(6y) \times 1/(y - 4)$ .
Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, $(4y - 5)/(6y) \times 1/(y - 4) = (4y - 5)/((6y)(y - 4))$ .
Simplify denominator: Simplify the denominator. So, $(6y)(y - 4) = 6y^2 - 24y$ .
Write in simplest form: Write the answer in the simplest form. So, $(4y - 5)/((6y)(y - 4)) = (4y - 5)/(6y^2 - 24y)$ .