Evaluate
-\frac{32}{15}\approx -2.133333333
Factor
-\frac{32}{15} = -2\frac{2}{15} = -2.1333333333333333
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\frac{6\times 5+2}{5\left(-3\right)}
Express \frac{\frac{6\times 5+2}{5}}{-3} as a single fraction.
\frac{30+2}{5\left(-3\right)}
Multiply 6 and 5 to get 30.
\frac{32}{5\left(-3\right)}
Add 30 and 2 to get 32.
\frac{32}{-15}
Multiply 5 and -3 to get -15.
-\frac{32}{15}
Fraction \frac{32}{-15} can be rewritten as -\frac{32}{15} by extracting the negative sign.
Examples
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y = 3x + 4
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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}