Evaluate
\frac{1121}{580}\approx 1.932758621
Factor
\frac{19 \cdot 59}{5 \cdot 29 \cdot 2 ^ {2}} = 1\frac{541}{580} = 1.9327586206896552
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\frac{1770}{174}\times 0.19
Expand \frac{177}{17.4} by multiplying both numerator and the denominator by 10.
\frac{295}{29}\times 0.19
Reduce the fraction \frac{1770}{174} to lowest terms by extracting and canceling out 6.
\frac{295}{29}\times \frac{19}{100}
Convert decimal number 0.19 to fraction \frac{19}{100}.
\frac{295\times 19}{29\times 100}
Multiply \frac{295}{29} times \frac{19}{100} by multiplying numerator times numerator and denominator times denominator.
\frac{5605}{2900}
Do the multiplications in the fraction \frac{295\times 19}{29\times 100}.
\frac{1121}{580}
Reduce the fraction \frac{5605}{2900} to lowest terms by extracting and canceling out 5.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}