(((x-y)/(6)))/(((x-y)/(12))) Which of the following is equivalent to the given expression for x!=y ? Choose 1 answer: (A) 2 (B) (1)/(2) (C) (x-y)/(2) (D) ((x-y)^(2))/(72)

Identify Given Expression: Identify the given expression and rewrite it to make it easier to simplify. The given expression is $\frac{\frac{x-y}{6}}{\frac{x-y}{12}}$. We can simplify this by multiplying the numerator by the reciprocal of the denominator.Multiply Numerator by Reciprocal: Multiply the numerator $\frac{x-y}{6}$ by the reciprocal of the denominator $\frac{12}{x-y}$. $\frac{x-y}{6} \times \frac{12}{x-y}$Cancel Out Like Terms: Cancel out the $(x-y)$ terms in the numerator and the denominator since $x \neq y$, which means $x-y$ is not zero and we can safely divide by it. $\frac{1}{6} \times 12$Simplify Multiplication: Simplify the multiplication of the constants. $\frac{1}{6} \times 12 = 2$Final Simplified Expression: The simplified expression is $2$, which corresponds to answer choice (A).

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(((x-y)/(6)))/(((x-y)/(12)))
Which of the following is equivalent to the given expression for
x!=y ?
Choose 1 answer:
(A) 2
(B)
(1)/(2)
(C)
(x-y)/(2)
(D)
((x-y)^(2))/(72)

$\frac{\left(\frac{x-y}{6}\right)}{\left(\frac{x-y}{12}\right)}$ $\newline$ Which of the following is equivalent to the given expression for $x \neq y$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $2$ $\newline$ (B) $\frac{1}{2}$ $\newline$ (C) $\frac{x-y}{2}$ $\newline$ (D) $\frac{(x-y)^{2}}{72}$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

\frac{\left(\frac{x-y}{6}\right)}{\left(\frac{x-y}{12}\right)}

\newline

Which of the following is equivalent to the given expression for

x \neq y

\newline

Choose

1

answer:

\newline

(A)

2

\newline

(B)

\frac{1}{2}

\newline

(C)

\frac{x-y}{2}

\newline

(D)

\frac{(x-y)^{2}}{72}

Identify Given Expression: Identify the given expression and rewrite it to make it easier to simplify. $\newline$ The given expression is $\frac{\frac{x-y}{6}}{\frac{x-y}{12}}$ . $\newline$ We can simplify this by multiplying the numerator by the reciprocal of the denominator.
Multiply Numerator by Reciprocal: Multiply the numerator $\frac{x-y}{6}$ by the reciprocal of the denominator $\frac{12}{x-y}$ . $\newline$ $\frac{x-y}{6} \times \frac{12}{x-y}$
Cancel Out Like Terms: Cancel out the $(x-y)$ terms in the numerator and the denominator since $x \neq y$ , which means $x-y$ is not zero and we can safely divide by it. $\newline$ $\frac{1}{6} \times 12$
Simplify Multiplication: Simplify the multiplication of the constants. $\newline$ $\frac{1}{6} \times 12 = 2$
Final Simplified Expression: The simplified expression is $2$ , which corresponds to answer choice (A).