Divide.
$$
\frac{2 x^{3} y}{7 y^{3}} \div \frac{x^{2}}{14 y}
$$

Simplify your answer as much as possible.

Question

Divide.
$$
\frac{2 x^{3} y}{7 y^{3}} \div \frac{x^{2}}{14 y}
$$

Simplify your answer as much as possible.

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Start by rewriting the given expression: $$ \frac{2 x^{3} y}{7 y^{3}} \div \frac{x^{2}}{14 y} $$ as a multiplication problem by taking the reciprocal of the second fraction: $$ \frac{2 x^{3} y}{7 y^{3}} \times \frac{14 y}{x^{2}} $$ ‖ ‖ step 2 ⋮ Simplify the expression by multiplying the numerators and the denominators: $$ \frac{2 x^{3} y \cdot 14 y}{7 y^{3} \cdot x^{2}} = \frac{28 x^{3} y^{2}}{7 y^{3} x^{2}} $$ ‖ ‖ step 3 ⋮ Simplify the fraction by canceling common factors in the numerator and the denominator: $$ \frac{28 x^{3} y^{2}}{7 y^{3} x^{2}} = \frac{4 x y^{2}}{y} = 4 x y $$ ‖ ∻Answer∻ ⚹ $4xy$ ⚹ ∻Key Concept∻ ⚹Simplification of algebraic fractions⚹ ∻Explanation∻ ⚹To simplify an algebraic fraction, multiply by the reciprocal of the divisor and then cancel common factors in the numerator and the denominator.⚹◊What is the simplified form of the given mathematical expression: $\frac{2 x^{3} y}{7 y^{3}} \div \frac{x^{2}}{14 y}$?⍭ Generate me a similar question◊

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