Evaluate
\frac{33}{4}=8.25
Factor
\frac{3 \cdot 11}{2 ^ {2}} = 8\frac{1}{4} = 8.25
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17-\frac{7\times 5}{4}
Add 8 and 9 to get 17.
17-\frac{35}{4}
Multiply 7 and 5 to get 35.
\frac{68}{4}-\frac{35}{4}
Convert 17 to fraction \frac{68}{4}.
\frac{68-35}{4}
Since \frac{68}{4} and \frac{35}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{33}{4}
Subtract 35 from 68 to get 33.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}