Evaluate
\frac{x}{10}+\frac{y}{6}
Factor
\frac{3x+5y}{30}
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\frac{3x}{30}+\frac{5y}{30}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10 and 6 is 30. Multiply \frac{x}{10} times \frac{3}{3}. Multiply \frac{y}{6} times \frac{5}{5}.
\frac{3x+5y}{30}
Since \frac{3x}{30} and \frac{5y}{30} have the same denominator, add them by adding their numerators.
\frac{3x+5y}{30}
Factor out \frac{1}{30}.
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