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2=\frac{5}{2}-\frac{5}{2-4}
Add 2 and 3 to get 5.
2=\frac{5}{2}-\frac{5}{-2}
Subtract 4 from 2 to get -2.
2=\frac{5}{2}-\left(-\frac{5}{2}\right)
Fraction \frac{5}{-2} can be rewritten as -\frac{5}{2} by extracting the negative sign.
2=\frac{5}{2}+\frac{5}{2}
The opposite of -\frac{5}{2} is \frac{5}{2}.
2=\frac{5+5}{2}
Since \frac{5}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.
2=\frac{10}{2}
Add 5 and 5 to get 10.
2=5
Divide 10 by 2 to get 5.
\text{false}
Compare 2 and 5.
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}