Evaluate
\frac{x}{13}+\frac{3}{5}
Factor
\frac{5x+39}{65}
Graph
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\frac{5x}{65}+\frac{3\times 13}{65}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 13 and 5 is 65. Multiply \frac{x}{13} times \frac{5}{5}. Multiply \frac{3}{5} times \frac{13}{13}.
\frac{5x+3\times 13}{65}
Since \frac{5x}{65} and \frac{3\times 13}{65} have the same denominator, add them by adding their numerators.
\frac{5x+39}{65}
Do the multiplications in 5x+3\times 13.
\frac{5x+39}{65}
Factor out \frac{1}{65}.
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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