Evaluate
-\frac{2}{9}\approx -0.222222222
Factor
-\frac{2}{9} = -0.2222222222222222
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-\frac{10}{21}\times \frac{7}{15}
Divide -\frac{10}{21} by \frac{15}{7} by multiplying -\frac{10}{21} by the reciprocal of \frac{15}{7}.
\frac{-10\times 7}{21\times 15}
Multiply -\frac{10}{21} times \frac{7}{15} by multiplying numerator times numerator and denominator times denominator.
\frac{-70}{315}
Do the multiplications in the fraction \frac{-10\times 7}{21\times 15}.
-\frac{2}{9}
Reduce the fraction \frac{-70}{315} to lowest terms by extracting and canceling out 35.
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
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}