Evaluate
-\frac{4}{3}\approx -1.333333333
Factor
-\frac{4}{3} = -1\frac{1}{3} = -1.3333333333333333
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-1+\frac{10}{15}-1
Expand \frac{1}{1.5} by multiplying both numerator and the denominator by 10.
-1+\frac{2}{3}-1
Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.
-\frac{3}{3}+\frac{2}{3}-1
Convert -1 to fraction -\frac{3}{3}.
\frac{-3+2}{3}-1
Since -\frac{3}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.
-\frac{1}{3}-1
Add -3 and 2 to get -1.
-\frac{1}{3}-\frac{3}{3}
Convert 1 to fraction \frac{3}{3}.
\frac{-1-3}{3}
Since -\frac{1}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.
-\frac{4}{3}
Subtract 3 from -1 to get -4.
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}