Evaluate
\frac{47}{7}\approx 6.714285714
Factor
\frac{47}{7} = 6\frac{5}{7} = 6.714285714285714
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\frac{224+5}{7}-26
Multiply 32 and 7 to get 224.
\frac{229}{7}-26
Add 224 and 5 to get 229.
\frac{229}{7}-\frac{182}{7}
Convert 26 to fraction \frac{182}{7}.
\frac{229-182}{7}
Since \frac{229}{7} and \frac{182}{7} have the same denominator, subtract them by subtracting their numerators.
\frac{47}{7}
Subtract 182 from 229 to get 47.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}