Evaluate
\frac{559}{4}=139.75
Factor
\frac{13 \cdot 43}{2 ^ {2}} = 139\frac{3}{4} = 139.75
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\frac{27}{4}\times 9+25+18\times 3
Divide 18 by 2 to get 9.
\frac{27\times 9}{4}+25+18\times 3
Express \frac{27}{4}\times 9 as a single fraction.
\frac{243}{4}+25+18\times 3
Multiply 27 and 9 to get 243.
\frac{243}{4}+\frac{100}{4}+18\times 3
Convert 25 to fraction \frac{100}{4}.
\frac{243+100}{4}+18\times 3
Since \frac{243}{4} and \frac{100}{4} have the same denominator, add them by adding their numerators.
\frac{343}{4}+18\times 3
Add 243 and 100 to get 343.
\frac{343}{4}+54
Multiply 18 and 3 to get 54.
\frac{343}{4}+\frac{216}{4}
Convert 54 to fraction \frac{216}{4}.
\frac{343+216}{4}
Since \frac{343}{4} and \frac{216}{4} have the same denominator, add them by adding their numerators.
\frac{559}{4}
Add 343 and 216 to get 559.
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}