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Express $\dfrac{2 x-1}{4}-\dfrac{3 x-5}{12}$ as a single fraction in its simplest form.
in Mathematics by Diamond (78,454 points) | 16 views

1 Answer

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$\textbf{Answer:}$

$ \frac{3x+2}{12}$

 

$ \textbf{Explanation:}$

$ \frac{2x-1}{4} -\frac{3x-5}{12}$

$ = \frac{3(2x-1)}{12} - \frac{3x-5}{12} $    (least common multiple of 4 and 12 is 12)

$ = \frac{3(2x-1)-(3x-5)}{12}$

$ = \frac{6x-3-3x+5}{12}$

$ = \frac{3x+2}{12}$
by Wooden (1,756 points)

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