Evaluate
\frac{65}{8}=8.125
Factor
\frac{5 \cdot 13}{2 ^ {3}} = 8\frac{1}{8} = 8.125
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\frac{\frac{12+1}{2}\times \frac{3\times 4+3}{4}}{3}
Multiply 6 and 2 to get 12.
\frac{\frac{13}{2}\times \frac{3\times 4+3}{4}}{3}
Add 12 and 1 to get 13.
\frac{\frac{13}{2}\times \frac{12+3}{4}}{3}
Multiply 3 and 4 to get 12.
\frac{\frac{13}{2}\times \frac{15}{4}}{3}
Add 12 and 3 to get 15.
\frac{\frac{13\times 15}{2\times 4}}{3}
Multiply \frac{13}{2} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{\frac{195}{8}}{3}
Do the multiplications in the fraction \frac{13\times 15}{2\times 4}.
\frac{195}{8\times 3}
Express \frac{\frac{195}{8}}{3} as a single fraction.
\frac{195}{24}
Multiply 8 and 3 to get 24.
\frac{65}{8}
Reduce the fraction \frac{195}{24} to lowest terms by extracting and canceling out 3.
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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}