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Write each fraction in terms of the LCD.x2x + 12x - 1x + 13x22x – 111X + 1X + 13Need Help?Watch ItAdditional Materials

Sagot :

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]
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