Evaluate
-\frac{1}{2}=-0.5
Factor
-\frac{1}{2} = -0.5
Quiz
Arithmetic
5 problems similar to:
\frac { 3 } { 1 } \times \frac { 3 } { 14 } - \frac { 8 } { 7 } =
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3\times \frac{3}{14}-\frac{8}{7}
Anything divided by one gives itself.
\frac{3\times 3}{14}-\frac{8}{7}
Express 3\times \frac{3}{14} as a single fraction.
\frac{9}{14}-\frac{8}{7}
Multiply 3 and 3 to get 9.
\frac{9}{14}-\frac{16}{14}
Least common multiple of 14 and 7 is 14. Convert \frac{9}{14} and \frac{8}{7} to fractions with denominator 14.
\frac{9-16}{14}
Since \frac{9}{14} and \frac{16}{14} have the same denominator, subtract them by subtracting their numerators.
\frac{-7}{14}
Subtract 16 from 9 to get -7.
-\frac{1}{2}
Reduce the fraction \frac{-7}{14} to lowest terms by extracting and canceling out 7.
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}