Respuesta :
The Simplified value of the complex fraction 1 + 2/x / 2 + 3 / 2x is (4x+7)/(4x+3) .
A complex fraction is defined as an expression that has fraction in it's numerator and a fraction in its denominator.
For Example : [tex]\frac{\frac{2}{3} }{\frac{5}{7} }[/tex] is an example of complex fraction.
The given question is
=1 + 2/x / 2 + 3 / 2x
[tex]=1+\frac{\frac{2}{x} }{2+\frac{3}{2x} }[/tex]
Taking LCM in the denominator and solving further,
[tex]=1+\frac{\frac{2}{x} }{\frac{4x+3}{2x} }[/tex]
[tex]=1+\frac{2}{x} *\frac{2x}{4x+3}[/tex]
Cancelling out "x" from both numerator and denominator
we get,
=1+(2*2)/(4x+3)
=1+(4)/(4x+3)
Taking LCM as 4x+3 and solving further we get,
=(4x+3+4)/(4x+3)
=(4x+7)/(4x+3)
Therefore , the simplified value of the expression 1 + 2/x / 2 + 3 / 2x is (4x+7)/(4x+3).
Learn more about Complex Fraction here https://brainly.com/question/28581103
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