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\frac{\frac{x^{2}}{4}+\frac{4}{4}}{2x-6}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{4}{4}.
\frac{\frac{x^{2}+4}{4}}{2x-6}
Since \frac{x^{2}}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.
\frac{x^{2}+4}{4\left(2x-6\right)}
Express \frac{\frac{x^{2}+4}{4}}{2x-6} as a single fraction.
\frac{x^{2}+4}{8x-24}
Use the distributive property to multiply 4 by 2x-6.
\frac{\frac{x^{2}}{4}+\frac{4}{4}}{2x-6}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{4}{4}.
\frac{\frac{x^{2}+4}{4}}{2x-6}
Since \frac{x^{2}}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.
\frac{x^{2}+4}{4\left(2x-6\right)}
Express \frac{\frac{x^{2}+4}{4}}{2x-6} as a single fraction.
\frac{x^{2}+4}{8x-24}
Use the distributive property to multiply 4 by 2x-6.