# How do you simplify #(3x-2)/(6x) + (5x+1)/(9x)#?

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To simplify the expression (3x-2)/(6x) + (5x+1)/(9x), we need to find a common denominator for the two fractions. The common denominator is 18x.

Next, we multiply the numerator and denominator of the first fraction (3x-2)/(6x) by 3 to get (9x-6)/(18x).

Similarly, we multiply the numerator and denominator of the second fraction (5x+1)/(9x) by 2 to get (10x+2)/(18x).

Now, we can combine the two fractions by adding their numerators and keeping the common denominator: (9x-6)/(18x) + (10x+2)/(18x).

Adding the numerators gives us (9x-6+10x+2)/(18x), which simplifies to (19x-4)/(18x).

Therefore, the simplified expression is (19x-4)/(18x).

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