Evaluate
\frac{7693}{75}\approx 102.573333333
Factor
\frac{157 \cdot 7 ^ {2}}{3 \cdot 5 ^ {2}} = 102\frac{43}{75} = 102.57333333333334
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\frac{3.14\times 49\times 2}{3}
Calculate 7 to the power of 2 and get 49.
\frac{153.86\times 2}{3}
Multiply 3.14 and 49 to get 153.86.
\frac{307.72}{3}
Multiply 153.86 and 2 to get 307.72.
\frac{30772}{300}
Expand \frac{307.72}{3} by multiplying both numerator and the denominator by 100.
\frac{7693}{75}
Reduce the fraction \frac{30772}{300} to lowest terms by extracting and canceling out 4.
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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}