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\frac{2\times 4}{4}+\frac{\sqrt{2}}{4}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{4}{4}.
\frac{2\times 4+\sqrt{2}}{4}
Since \frac{2\times 4}{4} and \frac{\sqrt{2}}{4} have the same denominator, add them by adding their numerators.
\frac{8+\sqrt{2}}{4}
Do the multiplications in 2\times 4+\sqrt{2}.