Evaluate
-\frac{13}{7}\approx -1.857142857
Factor
-\frac{13}{7} = -1\frac{6}{7} = -1.8571428571428572
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-\frac{21+2}{7}+\frac{1\times 7+3}{7}
Multiply 3 and 7 to get 21.
-\frac{23}{7}+\frac{1\times 7+3}{7}
Add 21 and 2 to get 23.
-\frac{23}{7}+\frac{7+3}{7}
Multiply 1 and 7 to get 7.
-\frac{23}{7}+\frac{10}{7}
Add 7 and 3 to get 10.
\frac{-23+10}{7}
Since -\frac{23}{7} and \frac{10}{7} have the same denominator, add them by adding their numerators.
-\frac{13}{7}
Add -23 and 10 to get -13.
Examples
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{ 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}