SyireF56897 SyireF56897
  • 03-11-2022
  • Mathematics
contestada

To solve the rational equation2. 3-x+65X+25how can the expressionX+2be rewritten usingthe least common denominator?

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AloriA596783 AloriA596783
  • 03-11-2022

The expression given is:

[tex]\frac{2}{x}+\frac{3-x}{6}[/tex]

The Least Common Denominator (L.C.D) of the expression is the product of the denominator:

[tex]6\times x=6x[/tex]

Since

[tex]\frac{2}{x}+\frac{3-x}{6}=\frac{5}{x+2}[/tex]

Then, we can multiply both the numerator and denominator with the L.C.D of 6x:

[tex]\begin{gathered} \frac{5}{x+2} \\ \\ \frac{5}{x+2}\times\frac{6x}{6x} \\ \\ \frac{30x}{6x(x+2)} \end{gathered}[/tex]

Therefore, the final answer is: Option B

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