Evaluate
9.42
Factor
\frac{3 \cdot 157}{2 \cdot 5 ^ {2}} = 9\frac{21}{50} = 9.42
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9\times 3.14\times \frac{1}{3}
Multiply 3 and 3 to get 9.
28.26\times \frac{1}{3}
Multiply 9 and 3.14 to get 28.26.
\frac{1413}{50}\times \frac{1}{3}
Convert decimal number 28.26 to fraction \frac{2826}{100}. Reduce the fraction \frac{2826}{100} to lowest terms by extracting and canceling out 2.
\frac{1413\times 1}{50\times 3}
Multiply \frac{1413}{50} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{1413}{150}
Do the multiplications in the fraction \frac{1413\times 1}{50\times 3}.
\frac{471}{50}
Reduce the fraction \frac{1413}{150} to lowest terms by extracting and canceling out 3.
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
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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}