Respuesta :

3 is the answer to the question.

[tex]\frac{x+1}{8x^2}[/tex] and [tex]\frac{2x-3}{12x}[/tex]

LCD is 24x^2

we need to find out b when multiply with first fraction to get 3x+3/24x^2

[tex]\frac{x+1}{8x^2} (\frac{b}{b}) =\frac{3x+3}{24x^2}[/tex]

We need to find out a number what multiply with 8x^2 to get 24x^2

[tex]8x^2 * 3 = 24x^2[/tex]

[tex]\frac{x+1}{8x^2} (\frac{3}{3}) =\frac{3(x+1)}{24x^2}=\frac{3x+3}{24x^2}[/tex]

So the value of b is 3

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