Evaluate
-\frac{31}{40}=-0.775
Factor
-\frac{31}{40} = -0.775
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-\frac{7}{8}-\frac{1}{2}+\frac{3}{5}
Fraction \frac{-7}{8} can be rewritten as -\frac{7}{8} by extracting the negative sign.
-\frac{7}{8}-\frac{4}{8}+\frac{3}{5}
Least common multiple of 8 and 2 is 8. Convert -\frac{7}{8} and \frac{1}{2} to fractions with denominator 8.
\frac{-7-4}{8}+\frac{3}{5}
Since -\frac{7}{8} and \frac{4}{8} have the same denominator, subtract them by subtracting their numerators.
-\frac{11}{8}+\frac{3}{5}
Subtract 4 from -7 to get -11.
-\frac{55}{40}+\frac{24}{40}
Least common multiple of 8 and 5 is 40. Convert -\frac{11}{8} and \frac{3}{5} to fractions with denominator 40.
\frac{-55+24}{40}
Since -\frac{55}{40} and \frac{24}{40} have the same denominator, add them by adding their numerators.
-\frac{31}{40}
Add -55 and 24 to get -31.
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}