Applying the least common multiple, the fraction is rewritten as
[tex]\frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]
Which is option A.
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The fraction given is:
[tex]\frac{4200}{x} + \frac{4200}{x + 100}[/tex]
When two fractions with different denominators are added, the first step is finding the least common multiple of the denominators. The lcm of x and x + 100 is x(x + 100), thus we use it to factor the fraction.
[tex]\frac{4200}{x} + \frac{4200}{x + 100} = \frac{4200\frac{x(x+100)}{x}}{x(x+100)} + \frac{4200\frac{x(x+100)}{x+100}}{x(x+100)} = \frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]
Which is option A.
A similar problem is given at https://brainly.com/question/17165235