Evaluate
\frac{18277}{31400}\approx 0.582070064
Factor
\frac{373 \cdot 7 ^ {2}}{157 \cdot 2 ^ {3} \cdot 5 ^ {2}} = 0.5820700636942675
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\frac{3.73}{12.56}\times 1.4^{2}
Multiply 4 and 3.14 to get 12.56.
\frac{373}{1256}\times 1.4^{2}
Expand \frac{3.73}{12.56} by multiplying both numerator and the denominator by 100.
\frac{373}{1256}\times 1.96
Calculate 1.4 to the power of 2 and get 1.96.
\frac{373}{1256}\times \frac{49}{25}
Convert decimal number 1.96 to fraction \frac{196}{100}. Reduce the fraction \frac{196}{100} to lowest terms by extracting and canceling out 4.
\frac{373\times 49}{1256\times 25}
Multiply \frac{373}{1256} times \frac{49}{25} by multiplying numerator times numerator and denominator times denominator.
\frac{18277}{31400}
Do the multiplications in the fraction \frac{373\times 49}{1256\times 25}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}