Evaluate
\frac{k+6}{k-7}
Expand
\frac{k+6}{k-7}
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\frac{\left(8k+48\right)\times 9k}{9k\left(8k-56\right)}
Divide \frac{8k+48}{9k} by \frac{8k-56}{9k} by multiplying \frac{8k+48}{9k} by the reciprocal of \frac{8k-56}{9k}.
\frac{8k+48}{8k-56}
Cancel out 9k in both numerator and denominator.
\frac{8\left(k+6\right)}{8\left(k-7\right)}
Factor the expressions that are not already factored.
\frac{k+6}{k-7}
Cancel out 8 in both numerator and denominator.
\frac{\left(8k+48\right)\times 9k}{9k\left(8k-56\right)}
Divide \frac{8k+48}{9k} by \frac{8k-56}{9k} by multiplying \frac{8k+48}{9k} by the reciprocal of \frac{8k-56}{9k}.
\frac{8k+48}{8k-56}
Cancel out 9k in both numerator and denominator.
\frac{8\left(k+6\right)}{8\left(k-7\right)}
Factor the expressions that are not already factored.
\frac{k+6}{k-7}
Cancel out 8 in both numerator and denominator.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}