Question 3
4
Find the least common denominator of $\frac{x+\frac{2}{x^{2}}}{3-\frac{5}{x}}$.
(A) $x$
(B) $3 x^{2}$
(C) $x^{2}$
(D) $3 x$

Answer

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Answer

Final Answer: The least common denominator of $\frac{x+\frac{2}{x^{2}}}{3-\frac{5}{x}}$ is $\boxed{x^{2}}$.

Steps

Step 1 ：The least common denominator (LCD) is the least common multiple (LCM) of the denominators of the fractions. In this case, the denominators are $x^2$ and $x$.

Step 2 ：The LCM of $x^2$ and $x$ is $x^2$.

Step 3 ：Therefore, the LCD of the given expression is $x^2$.

Step 4 ：Final Answer: The least common denominator of $\frac{x+\frac{2}{x^{2}}}{3-\frac{5}{x}}$ is $\boxed{x^{2}}$.

Question 34Find the least common denominator of $\frac{x+\frac{2}{x^{2}}}{3-\frac{5}{x}}$.(A) $x$(B) $3 x^{2}$(C) $x^{2}$(D) $3 x$

Answer

Popular Problems

Question 3
4
Find the least common denominator of $\frac{x+\frac{2}{x^{2}}}{3-\frac{5}{x}}$.
(A) $x$
(B) $3 x^{2}$
(C) $x^{2}$
(D) $3 x$