Evaluate
-\frac{9}{4}=-2.25
Factor
-\frac{9}{4} = -2\frac{1}{4} = -2.25
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-\frac{20+9}{20}-\frac{4}{5}
Multiply 1 and 20 to get 20.
-\frac{29}{20}-\frac{4}{5}
Add 20 and 9 to get 29.
-\frac{29}{20}-\frac{16}{20}
Least common multiple of 20 and 5 is 20. Convert -\frac{29}{20} and \frac{4}{5} to fractions with denominator 20.
\frac{-29-16}{20}
Since -\frac{29}{20} and \frac{16}{20} have the same denominator, subtract them by subtracting their numerators.
\frac{-45}{20}
Subtract 16 from -29 to get -45.
-\frac{9}{4}
Reduce the fraction \frac{-45}{20} 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}