Evaluate
-\frac{5}{38}\approx -0.131578947
Factor
-\frac{5}{38} = -0.13157894736842105
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\frac{\frac{-5}{2}}{6+\frac{13}{1}}
Multiply -5 and \frac{1}{2} to get \frac{-5}{2}.
\frac{-\frac{5}{2}}{6+\frac{13}{1}}
Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.
\frac{-\frac{5}{2}}{6+13}
Anything divided by one gives itself.
\frac{-\frac{5}{2}}{19}
Add 6 and 13 to get 19.
\frac{-5}{2\times 19}
Express \frac{-\frac{5}{2}}{19} as a single fraction.
\frac{-5}{38}
Multiply 2 and 19 to get 38.
-\frac{5}{38}
Fraction \frac{-5}{38} can be rewritten as -\frac{5}{38} 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}