Evaluate
\frac{10}{13}\approx 0.769230769
Factor
\frac{2 \cdot 5}{13} = 0.7692307692307693
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\frac{7.5\times 4}{9\times 4+3}
Divide 7.5 by \frac{9\times 4+3}{4} by multiplying 7.5 by the reciprocal of \frac{9\times 4+3}{4}.
\frac{30}{9\times 4+3}
Multiply 7.5 and 4 to get 30.
\frac{30}{36+3}
Multiply 9 and 4 to get 36.
\frac{30}{39}
Add 36 and 3 to get 39.
\frac{10}{13}
Reduce the fraction \frac{30}{39} to lowest terms by extracting and canceling out 3.
Examples
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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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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}