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{30\times 5}{8}
Express 30\times \frac{5}{8} as a single fraction.
\frac{150}{8}
Multiply 30 and 5 to get 150.
\frac{75}{4}
Reduce the fraction \frac{150}{8} to lowest terms by extracting and canceling out 2.
Examples
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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
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}