Evaluate
\frac{8}{5}=1.6
Factor
\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6
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\frac{7\times 8}{4\times 8+3}
Divide 7 by \frac{4\times 8+3}{8} by multiplying 7 by the reciprocal of \frac{4\times 8+3}{8}.
\frac{56}{4\times 8+3}
Multiply 7 and 8 to get 56.
\frac{56}{32+3}
Multiply 4 and 8 to get 32.
\frac{56}{35}
Add 32 and 3 to get 35.
\frac{8}{5}
Reduce the fraction \frac{56}{35} to lowest terms by extracting and canceling out 7.
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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}