Evaluate
\frac{\sqrt{2}t}{2}+\frac{1}{8}
Factor
\frac{4\sqrt{2}t+1}{8}
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\frac{\sqrt{2}t}{2}+\frac{1}{8}
Express \frac{\sqrt{2}}{2}t as a single fraction.
\frac{4\sqrt{2}t}{8}+\frac{1}{8}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 8 is 8. Multiply \frac{\sqrt{2}t}{2} times \frac{4}{4}.
\frac{4\sqrt{2}t+1}{8}
Since \frac{4\sqrt{2}t}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.
\frac{4\sqrt{2}t+1}{8}
Factor out \frac{1}{8}.
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