Evaluate
\frac{189}{20}=9.45
Factor
\frac{3 ^ {3} \cdot 7}{2 ^ {2} \cdot 5} = 9\frac{9}{20} = 9.45
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\frac{20+1}{5}\times \frac{2\times 4+1}{4}
Multiply 4 and 5 to get 20.
\frac{21}{5}\times \frac{2\times 4+1}{4}
Add 20 and 1 to get 21.
\frac{21}{5}\times \frac{8+1}{4}
Multiply 2 and 4 to get 8.
\frac{21}{5}\times \frac{9}{4}
Add 8 and 1 to get 9.
\frac{21\times 9}{5\times 4}
Multiply \frac{21}{5} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{189}{20}
Do the multiplications in the fraction \frac{21\times 9}{5\times 4}.
Examples
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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
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}