6 \frac { 8 } { 9 } \cdot ( - 16 \frac { 4 } { 9 }
Evaluate
-\frac{9176}{81}\approx -113.283950617
Factor
-\frac{9176}{81} = -113\frac{23}{81} = -113.28395061728395
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\frac{54+8}{9}\left(-\frac{16\times 9+4}{9}\right)
Multiply 6 and 9 to get 54.
\frac{62}{9}\left(-\frac{16\times 9+4}{9}\right)
Add 54 and 8 to get 62.
\frac{62}{9}\left(-\frac{144+4}{9}\right)
Multiply 16 and 9 to get 144.
\frac{62}{9}\left(-\frac{148}{9}\right)
Add 144 and 4 to get 148.
\frac{62\left(-148\right)}{9\times 9}
Multiply \frac{62}{9} times -\frac{148}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{-9176}{81}
Do the multiplications in the fraction \frac{62\left(-148\right)}{9\times 9}.
-\frac{9176}{81}
Fraction \frac{-9176}{81} can be rewritten as -\frac{9176}{81} by extracting the negative sign.
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}