# How do you simplify #2/x + 3/(2x^3)#?

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Treat algebraic fractions the same as arithmetic fractions.

Find the LCD first and make equivalent fractions.

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To simplify the expression 2/x + 3/(2x^3), we need to find a common denominator and combine the fractions. The common denominator is 2x^3.

To convert the first fraction, we multiply the numerator and denominator by 2x^2 to get 4x^2/2x^3.

To convert the second fraction, we multiply the numerator and denominator by x^2 to get 3x^2/(2x^3).

Now, we can combine the fractions by adding the numerators and keeping the common denominator: (4x^2 + 3x^2)/(2x^3).

Simplifying the numerator gives us 7x^2, so the final simplified expression is 7x^2/(2x^3).

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