Evaluate
-19.5
Factor
-19.5
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2.5\left(-\frac{35+4}{5}\right)
Multiply 7 and 5 to get 35.
2.5\left(-\frac{39}{5}\right)
Add 35 and 4 to get 39.
\frac{5}{2}\left(-\frac{39}{5}\right)
Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.
\frac{5\left(-39\right)}{2\times 5}
Multiply \frac{5}{2} times -\frac{39}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{-39}{2}
Cancel out 5 in both numerator and denominator.
-\frac{39}{2}
Fraction \frac{-39}{2} can be rewritten as -\frac{39}{2} by extracting the negative sign.
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}