Evaluate
\frac{17}{36}+\frac{1}{6c}
Expand
\frac{17}{36}+\frac{1}{6c}
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\frac{9\left(c+2\right)}{36c}+\frac{4\left(2c-3\right)}{36c}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4c and 9c is 36c. Multiply \frac{c+2}{4c} times \frac{9}{9}. Multiply \frac{2c-3}{9c} times \frac{4}{4}.
\frac{9\left(c+2\right)+4\left(2c-3\right)}{36c}
Since \frac{9\left(c+2\right)}{36c} and \frac{4\left(2c-3\right)}{36c} have the same denominator, add them by adding their numerators.
\frac{9c+18+8c-12}{36c}
Do the multiplications in 9\left(c+2\right)+4\left(2c-3\right).
\frac{17c+6}{36c}
Combine like terms in 9c+18+8c-12.
\frac{9\left(c+2\right)}{36c}+\frac{4\left(2c-3\right)}{36c}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4c and 9c is 36c. Multiply \frac{c+2}{4c} times \frac{9}{9}. Multiply \frac{2c-3}{9c} times \frac{4}{4}.
\frac{9\left(c+2\right)+4\left(2c-3\right)}{36c}
Since \frac{9\left(c+2\right)}{36c} and \frac{4\left(2c-3\right)}{36c} have the same denominator, add them by adding their numerators.
\frac{9c+18+8c-12}{36c}
Do the multiplications in 9\left(c+2\right)+4\left(2c-3\right).
\frac{17c+6}{36c}
Combine like terms in 9c+18+8c-12.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}