Evaluate
\frac{251}{500\left(\frac{s}{4}+1\right)}
Expand
\frac{251}{500\left(\frac{s}{4}+1\right)}
Share
Copied to clipboard
\frac{2\left(0.255+1\right)}{5\left(0.25s+1\right)}
Cancel out 0.05s+1 in both numerator and denominator.
\frac{2\times 1.255}{5\left(0.25s+1\right)}
Add 0.255 and 1 to get 1.255.
\frac{2.51}{5\left(0.25s+1\right)}
Multiply 2 and 1.255 to get 2.51.
\frac{2.51}{1.25s+5}
Use the distributive property to multiply 5 by 0.25s+1.
\frac{2\left(0.255+1\right)}{5\left(0.25s+1\right)}
Cancel out 0.05s+1 in both numerator and denominator.
\frac{2\times 1.255}{5\left(0.25s+1\right)}
Add 0.255 and 1 to get 1.255.
\frac{2.51}{5\left(0.25s+1\right)}
Multiply 2 and 1.255 to get 2.51.
\frac{2.51}{1.25s+5}
Use the distributive property to multiply 5 by 0.25s+1.
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}