Respuesta :

Answer:

Least common denominator is 6x^2

Step-by-step explanation:

[tex]\frac{7}{x}  and \frac{-5}{6x^2}[/tex]

Here we have denominators x  and 6x^2

we take the factors for x  and 6x^2

x  ---> x

6x^2   ----> 3 * 2* x*x

WE have x in common

To get LCD we multiply all the numbers but repeated x only once

LCD is 3*2*x*x that is 6x^2

Least common denominator is 6x^2

Answer:

Least Common Denominator is 6[tex]x^{2}[/tex]

Step-by-step explanation:

In this question we simply find the factors of the denominators first.

Fractions are (-7)/x and (-5)/6[tex]x^{2}[/tex]

Denominators are x and 6[tex]x^{2}[/tex]

Factors of first denominator = x×x

Factors of second denominator = 2×3×x×x

Common factors are x×x

So LCM of these two denominators will be = 2×3×common factors of both

                                                                       = 2×3×[tex]x^{2}[/tex]

                                                                       = 6[tex]x^{2}[/tex]

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