Evaluate
\frac{195}{14}\approx 13.928571429
Factor
\frac{3 \cdot 5 \cdot 13}{2 \cdot 7} = 13\frac{13}{14} = 13.928571428571429
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\frac{2437.5}{175}
Multiply 32.5 and 75 to get 2437.5.
\frac{24375}{1750}
Expand \frac{2437.5}{175} by multiplying both numerator and the denominator by 10.
\frac{195}{14}
Reduce the fraction \frac{24375}{1750} to lowest terms by extracting and canceling out 125.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}