Evaluate
3.5
Factor
\frac{7}{2} = 3\frac{1}{2} = 3.5
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\frac{12}{-40}+3.8
Expand \frac{0.12}{-0.4} by multiplying both numerator and the denominator by 100.
-\frac{3}{10}+3.8
Reduce the fraction \frac{12}{-40} to lowest terms by extracting and canceling out 4.
-\frac{3}{10}+\frac{19}{5}
Convert decimal number 3.8 to fraction \frac{38}{10}. Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.
-\frac{3}{10}+\frac{38}{10}
Least common multiple of 10 and 5 is 10. Convert -\frac{3}{10} and \frac{19}{5} to fractions with denominator 10.
\frac{-3+38}{10}
Since -\frac{3}{10} and \frac{38}{10} have the same denominator, add them by adding their numerators.
\frac{35}{10}
Add -3 and 38 to get 35.
\frac{7}{2}
Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 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}