Evaluate
\frac{15}{2}=7.5
Factor
\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5
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6\times \frac{4+1}{4}
Multiply 1 and 4 to get 4.
6\times \frac{5}{4}
Add 4 and 1 to get 5.
\frac{6\times 5}{4}
Express 6\times \frac{5}{4} as a single fraction.
\frac{30}{4}
Multiply 6 and 5 to get 30.
\frac{15}{2}
Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.
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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}