Evaluate
\frac{63}{10}=6.3
Factor
\frac{3 ^ {2} \cdot 7}{2 \cdot 5} = 6\frac{3}{10} = 6.3
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\frac{20+1}{4}\times \frac{1\times 5+1}{5}
Multiply 5 and 4 to get 20.
\frac{21}{4}\times \frac{1\times 5+1}{5}
Add 20 and 1 to get 21.
\frac{21}{4}\times \frac{5+1}{5}
Multiply 1 and 5 to get 5.
\frac{21}{4}\times \frac{6}{5}
Add 5 and 1 to get 6.
\frac{21\times 6}{4\times 5}
Multiply \frac{21}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{126}{20}
Do the multiplications in the fraction \frac{21\times 6}{4\times 5}.
\frac{63}{10}
Reduce the fraction \frac{126}{20} to lowest terms by extracting and canceling out 2.
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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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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}