Evaluate
\frac{214}{15}\approx 14.266666667
Factor
\frac{2 \cdot 107}{3 \cdot 5} = 14\frac{4}{15} = 14.266666666666667
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2\times \frac{107}{15}
Divide 2 by \frac{15}{107} by multiplying 2 by the reciprocal of \frac{15}{107}.
\frac{2\times 107}{15}
Express 2\times \frac{107}{15} as a single fraction.
\frac{214}{15}
Multiply 2 and 107 to get 214.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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}