Evaluate
\frac{14}{3}\approx 4.666666667
Factor
\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667
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\frac{-62\left(-\frac{12}{35}\right)}{-\frac{24}{49}\left(-9.3\right)}
Express \frac{\frac{-62\left(-\frac{12}{35}\right)}{-\frac{24}{49}}}{-9.3} as a single fraction.
\frac{\frac{-62\left(-12\right)}{35}}{-\frac{24}{49}\left(-9.3\right)}
Express -62\left(-\frac{12}{35}\right) as a single fraction.
\frac{\frac{744}{35}}{-\frac{24}{49}\left(-9.3\right)}
Multiply -62 and -12 to get 744.
\frac{\frac{744}{35}}{-\frac{24}{49}\left(-\frac{93}{10}\right)}
Convert decimal number -9.3 to fraction -\frac{93}{10}.
\frac{\frac{744}{35}}{\frac{-24\left(-93\right)}{49\times 10}}
Multiply -\frac{24}{49} times -\frac{93}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{\frac{744}{35}}{\frac{2232}{490}}
Do the multiplications in the fraction \frac{-24\left(-93\right)}{49\times 10}.
\frac{\frac{744}{35}}{\frac{1116}{245}}
Reduce the fraction \frac{2232}{490} to lowest terms by extracting and canceling out 2.
\frac{744}{35}\times \frac{245}{1116}
Divide \frac{744}{35} by \frac{1116}{245} by multiplying \frac{744}{35} by the reciprocal of \frac{1116}{245}.
\frac{744\times 245}{35\times 1116}
Multiply \frac{744}{35} times \frac{245}{1116} by multiplying numerator times numerator and denominator times denominator.
\frac{182280}{39060}
Do the multiplications in the fraction \frac{744\times 245}{35\times 1116}.
\frac{14}{3}
Reduce the fraction \frac{182280}{39060} to lowest terms by extracting and canceling out 13020.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}