Evaluate
\frac{5\left(n-3\right)}{m}
Expand
\frac{5\left(n-3\right)}{m}
Quiz
Algebra
5 problems similar to:
\frac { m n ^ { 2 } - 9 m } { m n } \div \frac { m n + 3 m } { 5 n }
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\frac{\left(mn^{2}-9m\right)\times 5n}{mn\left(mn+3m\right)}
Divide \frac{mn^{2}-9m}{mn} by \frac{mn+3m}{5n} by multiplying \frac{mn^{2}-9m}{mn} by the reciprocal of \frac{mn+3m}{5n}.
\frac{5\left(mn^{2}-9m\right)}{m\left(mn+3m\right)}
Cancel out n in both numerator and denominator.
\frac{5m\left(n-3\right)\left(n+3\right)}{\left(n+3\right)m^{2}}
Factor the expressions that are not already factored.
\frac{5\left(n-3\right)}{m}
Cancel out m\left(n+3\right) in both numerator and denominator.
\frac{5n-15}{m}
Expand the expression.
\frac{\left(mn^{2}-9m\right)\times 5n}{mn\left(mn+3m\right)}
Divide \frac{mn^{2}-9m}{mn} by \frac{mn+3m}{5n} by multiplying \frac{mn^{2}-9m}{mn} by the reciprocal of \frac{mn+3m}{5n}.
\frac{5\left(mn^{2}-9m\right)}{m\left(mn+3m\right)}
Cancel out n in both numerator and denominator.
\frac{5m\left(n-3\right)\left(n+3\right)}{\left(n+3\right)m^{2}}
Factor the expressions that are not already factored.
\frac{5\left(n-3\right)}{m}
Cancel out m\left(n+3\right) in both numerator and denominator.
\frac{5n-15}{m}
Expand the expression.
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}