Write as a single fraction in its simplest form $\frac{2x}{3} - \frac{3(x-2)}{4}$ .

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Worked solution

1. Write both terms with a common denominator.

The lowest common denominator of $3$ and $4$ is $12$ .

$\frac{2x}{3}-\frac{3(x-2)}{4}=\frac{8x}{12}-\frac{9(x-2)}{12}$

2. Combine the numerators and simplify.

$\frac{8x}{12}-\frac{9(x-2)}{12}=\frac{8x-9(x-2)}{12}$

$=\frac{8x-9x+18}{12}$

$=\frac{-x+18}{12}$

Answer

$\dfrac{-x+18}{12}$

AI analysis — may contain mistakes.

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