Evaluate
\frac{7-k}{10}
Expand
\frac{7-k}{10}
Share
Copied to clipboard
\frac{\left(36-28k\right)\left(k-7\right)}{10\left(28k-36\right)}
Divide \frac{36-28k}{10} by \frac{28k-36}{k-7} by multiplying \frac{36-28k}{10} by the reciprocal of \frac{28k-36}{k-7}.
\frac{-\left(k-7\right)\left(28k-36\right)}{10\left(28k-36\right)}
Extract the negative sign in 36-28k.
\frac{-\left(k-7\right)}{10}
Cancel out 28k-36 in both numerator and denominator.
\frac{-k-\left(-7\right)}{10}
To find the opposite of k-7, find the opposite of each term.
\frac{-k+7}{10}
The opposite of -7 is 7.
\frac{\left(36-28k\right)\left(k-7\right)}{10\left(28k-36\right)}
Divide \frac{36-28k}{10} by \frac{28k-36}{k-7} by multiplying \frac{36-28k}{10} by the reciprocal of \frac{28k-36}{k-7}.
\frac{-\left(k-7\right)\left(28k-36\right)}{10\left(28k-36\right)}
Extract the negative sign in 36-28k.
\frac{-\left(k-7\right)}{10}
Cancel out 28k-36 in both numerator and denominator.
\frac{-k-\left(-7\right)}{10}
To find the opposite of k-7, find the opposite of each term.
\frac{-k+7}{10}
The opposite of -7 is 7.
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}