Question

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

Answer 1

The given fractions are,

`(x^2)/(2x-1),\text{ }(x+1)/(x+13)`

The LCD of fractions is the least common multiple of the denominators.

So, the LCD of the above fractions is,

`(2x-1)(x+13)`

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,

`(x^2)/(2x-1)=(x^2(x+13))/((2x-1)(x+13))`

The second fraction can be expressed in terms of the LCD as,

`\frac{x+1_{}^{}}{x+13}=((x+1)(2x-1))/((2x-1)(x+13))`