Evaluate
0.46
Factor
\frac{23}{2 \cdot 5 ^ {2}} = 0.46
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\frac{3892}{700}-5.1
Expand \frac{3.892}{0.7} by multiplying both numerator and the denominator by 1000.
\frac{139}{25}-5.1
Reduce the fraction \frac{3892}{700} to lowest terms by extracting and canceling out 28.
\frac{139}{25}-\frac{51}{10}
Convert decimal number 5.1 to fraction \frac{51}{10}.
\frac{278}{50}-\frac{255}{50}
Least common multiple of 25 and 10 is 50. Convert \frac{139}{25} and \frac{51}{10} to fractions with denominator 50.
\frac{278-255}{50}
Since \frac{278}{50} and \frac{255}{50} have the same denominator, subtract them by subtracting their numerators.
\frac{23}{50}
Subtract 255 from 278 to get 23.
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}