Simplify 1 over quantity x minus 3 plus 4 over x all over 4 over x minus 1 over quantity x minus 3

Question

anonymous · Answer

attachment

turingtest · Answer

the fist thing you want to do is combine the fraction in the numerator and denominator. so just look at the problem$${1\over x-3}+\frac4x$$can you simplify that?

anonymous · Answer

ADD eah side with x-3 right ?

anonymous · Answer

*each

turingtest · Answer

no adding...
you need to find the common denominator
i.e. the GCF of the denominator

anonymous · Answer

so its x-3

turingtest · Answer

x(x-3) is the GFC of the two denominators
there are no common factors between x and x-3

turingtest · Answer

there are a few different ways to go from here, but in this case I would say it is helpful to note what the GCF of the denominator in the lower fraction is
what is the GCF of the denominators of$$\frac4x-\frac1{x-3}$$?