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\frac{x\times 10x}{10x}+\frac{1}{10x}
To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{10x}{10x}.
\frac{x\times 10x+1}{10x}
Since \frac{x\times 10x}{10x} and \frac{1}{10x} have the same denominator, add them by adding their numerators.
\frac{10x^{2}+1}{10x}
Do the multiplications in x\times 10x+1.