Evaluate
\frac{3}{50}=0.06
Factor
\frac{3}{2 \cdot 5 ^ {2}} = 0.06
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\left(\frac{28}{10}-7\right)\times \frac{7}{10}+3
Multiply 4 and 7 to get 28.
\left(\frac{14}{5}-7\right)\times \frac{7}{10}+3
Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.
\left(\frac{14}{5}-\frac{35}{5}\right)\times \frac{7}{10}+3
Convert 7 to fraction \frac{35}{5}.
\frac{14-35}{5}\times \frac{7}{10}+3
Since \frac{14}{5} and \frac{35}{5} have the same denominator, subtract them by subtracting their numerators.
-\frac{21}{5}\times \frac{7}{10}+3
Subtract 35 from 14 to get -21.
\frac{-21\times 7}{5\times 10}+3
Multiply -\frac{21}{5} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{-147}{50}+3
Do the multiplications in the fraction \frac{-21\times 7}{5\times 10}.
-\frac{147}{50}+3
Fraction \frac{-147}{50} can be rewritten as -\frac{147}{50} by extracting the negative sign.
-\frac{147}{50}+\frac{150}{50}
Convert 3 to fraction \frac{150}{50}.
\frac{-147+150}{50}
Since -\frac{147}{50} and \frac{150}{50} have the same denominator, add them by adding their numerators.
\frac{3}{50}
Add -147 and 150 to get 3.
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}