The simplified form of the given algebraic expression will be 13/8 x - 5/6.
How to find the sum of algebraic fractions?
Finding the least common multiples of the denominator expressions can help.
Then using the similar method as we use in the sum of fractions would give the sum of algebraic fractions.
For example,
[tex]\dfrac{a}b} + \dfrac{c}{d} = \dfrac{a \times d + c \times b}{bd}[/tex]
We have the given algebraic expression. we need to simplify the expression.
[tex]\dfrac{3}{4}x -\dfrac{1}{3} +\dfrac{7}{8} x-\dfrac{1}{2} \\\\\\\dfrac{3}{4}x +\dfrac{7}{8} x-\dfrac{1}{3} -\dfrac{1}{2} \\\\\\\dfrac{(6+7)}{8} x - \dfrac{(2+3)}{6} \\\\\\\dfrac{13}{8} x - \dfrac{5}{6}[/tex]
Learn more about multiplication here:
https://brainly.com/question/26816519
#SPJ1
