Evaluate
-\frac{53}{4}=-13.25
Factor
-\frac{53}{4} = -13\frac{1}{4} = -13.25
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\frac{\left(6\times 8+5\right)\times 2}{8\left(-1\right)}
Divide \frac{6\times 8+5}{8} by \frac{-1}{2} by multiplying \frac{6\times 8+5}{8} by the reciprocal of \frac{-1}{2}.
\frac{5+6\times 8}{-4}
Cancel out 2 in both numerator and denominator.
\frac{5+48}{-4}
Multiply 6 and 8 to get 48.
\frac{53}{-4}
Add 5 and 48 to get 53.
-\frac{53}{4}
Fraction \frac{53}{-4} can be rewritten as -\frac{53}{4} by extracting the negative sign.
Examples
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{ 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}