Respuesta :
You multiply (x+1) times 2x and x+2 times 3 to get to the right numerator parts over 6x.
[tex] \frac{x+1}{3} - \frac{x+2}{2x} = \frac{2x(x+1) - 3(x+2)}{6x} = \frac{2x^2-x-6}{6x} [/tex]
[tex] \frac{x+1}{3} - \frac{x+2}{2x} = \frac{2x(x+1) - 3(x+2)}{6x} = \frac{2x^2-x-6}{6x} [/tex]
The numerator of a given fraction will be 2x² - x - 6.
What is numerator and denominator?
In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.
Given,
fraction x plus 1 all over 3 minus the fraction x plus 2 all over 2 x
(x + 1)/3 - (x + 2)/2x has LCM as 6x
By cross multiply
(x + 1)/3 - (x + 2)/2x = [2x(x + 1) - 3(x + 2)] /6x
⇒ [2x² + 2x - 3x - 6 ]/6x
⇒ [2x² - x - 6 ]/6x
Hence "The numerator of a given fraction will be 2x² - x - 6".
For more about numerators and denominators,
brainly.com/question/19613319
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