Evaluate
\frac{5}{192}\approx 0.026041667
Factor
\frac{5}{2 ^ {6} \cdot 3} = 0.026041666666666668
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\frac{-1}{12\times 16}+\frac{1}{32}
Multiply -\frac{1}{12} times \frac{1}{16} by multiplying numerator times numerator and denominator times denominator.
\frac{-1}{192}+\frac{1}{32}
Do the multiplications in the fraction \frac{-1}{12\times 16}.
-\frac{1}{192}+\frac{1}{32}
Fraction \frac{-1}{192} can be rewritten as -\frac{1}{192} by extracting the negative sign.
-\frac{1}{192}+\frac{6}{192}
Least common multiple of 192 and 32 is 192. Convert -\frac{1}{192} and \frac{1}{32} to fractions with denominator 192.
\frac{-1+6}{192}
Since -\frac{1}{192} and \frac{6}{192} have the same denominator, add them by adding their numerators.
\frac{5}{192}
Add -1 and 6 to get 5.
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}