- 7 \frac { 4 } { 5 } - ( - 3 \frac { 4 } { 4 }
Evaluate
-\frac{19}{5}=-3.8
Factor
-\frac{19}{5} = -3\frac{4}{5} = -3.8
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-\frac{35+4}{5}-\left(-\frac{3\times 4+4}{4}\right)
Multiply 7 and 5 to get 35.
-\frac{39}{5}-\left(-\frac{3\times 4+4}{4}\right)
Add 35 and 4 to get 39.
-\frac{39}{5}-\left(-\frac{12+4}{4}\right)
Multiply 3 and 4 to get 12.
-\frac{39}{5}-\left(-\frac{16}{4}\right)
Add 12 and 4 to get 16.
-\frac{39}{5}-\left(-4\right)
Divide 16 by 4 to get 4.
-\frac{39}{5}+4
The opposite of -4 is 4.
-\frac{39}{5}+\frac{20}{5}
Convert 4 to fraction \frac{20}{5}.
\frac{-39+20}{5}
Since -\frac{39}{5} and \frac{20}{5} have the same denominator, add them by adding their numerators.
-\frac{19}{5}
Add -39 and 20 to get -19.
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}