The given fractions are,
[tex]\frac{x^2}{2x-1},\text{ }\frac{x+1}{x+13}[/tex]The LCD of fractions is the least common multiple of the denominators.
So, the LCD of the above fractions is,
[tex](2x-1)(x+13)[/tex]Multiplying the numerator and the denominator of the fraction by a common term does not change the fraction.
So, the first fraction can be expressed in terms of the LCD as,
[tex]\frac{x^2}{2x-1}=\frac{x^2(x+13)}{(2x-1)(x+13)}[/tex]The second fraction can be expressed in terms of the LCD as,
[tex]\frac{x+1_{}^{}}{x+13}=\frac{(x+1)(2x-1)}{(2x-1)(x+13)}[/tex]