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\frac{1}{m}
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\frac{1}{m}
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\frac{\left(m-n\right)a}{amn}+\frac{\left(n-a\right)m}{amn}+\frac{2a-m}{am}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of mn and na is amn. Multiply \frac{m-n}{mn} times \frac{a}{a}. Multiply \frac{n-a}{na} times \frac{m}{m}.
\frac{\left(m-n\right)a+\left(n-a\right)m}{amn}+\frac{2a-m}{am}
Since \frac{\left(m-n\right)a}{amn} and \frac{\left(n-a\right)m}{amn} have the same denominator, add them by adding their numerators.
\frac{ma-na+nm-am}{amn}+\frac{2a-m}{am}
Do the multiplications in \left(m-n\right)a+\left(n-a\right)m.
\frac{-na+nm}{amn}+\frac{2a-m}{am}
Combine like terms in ma-na+nm-am.
\frac{n\left(m-a\right)}{amn}+\frac{2a-m}{am}
Factor the expressions that are not already factored in \frac{-na+nm}{amn}.
\frac{m-a}{am}+\frac{2a-m}{am}
Cancel out n in both numerator and denominator.
\frac{m-a+2a-m}{am}
Since \frac{m-a}{am} and \frac{2a-m}{am} have the same denominator, add them by adding their numerators.
\frac{a}{am}
Combine like terms in m-a+2a-m.
\frac{1}{m}
Cancel out a in both numerator and denominator.
\frac{\left(m-n\right)a}{amn}+\frac{\left(n-a\right)m}{amn}+\frac{2a-m}{am}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of mn and na is amn. Multiply \frac{m-n}{mn} times \frac{a}{a}. Multiply \frac{n-a}{na} times \frac{m}{m}.
\frac{\left(m-n\right)a+\left(n-a\right)m}{amn}+\frac{2a-m}{am}
Since \frac{\left(m-n\right)a}{amn} and \frac{\left(n-a\right)m}{amn} have the same denominator, add them by adding their numerators.
\frac{ma-na+nm-am}{amn}+\frac{2a-m}{am}
Do the multiplications in \left(m-n\right)a+\left(n-a\right)m.
\frac{-na+nm}{amn}+\frac{2a-m}{am}
Combine like terms in ma-na+nm-am.
\frac{n\left(m-a\right)}{amn}+\frac{2a-m}{am}
Factor the expressions that are not already factored in \frac{-na+nm}{amn}.
\frac{m-a}{am}+\frac{2a-m}{am}
Cancel out n in both numerator and denominator.
\frac{m-a+2a-m}{am}
Since \frac{m-a}{am} and \frac{2a-m}{am} have the same denominator, add them by adding their numerators.
\frac{a}{am}
Combine like terms in m-a+2a-m.
\frac{1}{m}
Cancel out a 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}