Evaluate
\frac{75}{4}=18.75
Factor
\frac{3 \cdot 5 ^ {2}}{2 ^ {2}} = 18\frac{3}{4} = 18.75
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\frac{\left(9\times 5+5\right)\times 15}{5\times 8}
Divide \frac{9\times 5+5}{5} by \frac{8}{15} by multiplying \frac{9\times 5+5}{5} by the reciprocal of \frac{8}{15}.
\frac{3\left(5+5\times 9\right)}{8}
Cancel out 5 in both numerator and denominator.
\frac{3\left(5+45\right)}{8}
Multiply 5 and 9 to get 45.
\frac{3\times 50}{8}
Add 5 and 45 to get 50.
\frac{150}{8}
Multiply 3 and 50 to get 150.
\frac{75}{4}
Reduce the fraction \frac{150}{8} to lowest terms by extracting and canceling out 2.
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y = 3x + 4
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\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}