Evaluate
\frac{167}{7}\approx 23.857142857
Factor
\frac{167}{7} = 23\frac{6}{7} = 23.857142857142858
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\frac{60}{3}-\frac{4\left(-8+3\right)}{7}-3+4
Multiply 10 and 6 to get 60.
20-\frac{4\left(-8+3\right)}{7}-3+4
Divide 60 by 3 to get 20.
20-\frac{4\left(-5\right)}{7}-3+4
Add -8 and 3 to get -5.
20-\frac{-20}{7}-3+4
Multiply 4 and -5 to get -20.
20-\left(-\frac{20}{7}\right)-3+4
Fraction \frac{-20}{7} can be rewritten as -\frac{20}{7} by extracting the negative sign.
20+\frac{20}{7}-3+4
The opposite of -\frac{20}{7} is \frac{20}{7}.
\frac{140}{7}+\frac{20}{7}-3+4
Convert 20 to fraction \frac{140}{7}.
\frac{140+20}{7}-3+4
Since \frac{140}{7} and \frac{20}{7} have the same denominator, add them by adding their numerators.
\frac{160}{7}-3+4
Add 140 and 20 to get 160.
\frac{160}{7}-\frac{21}{7}+4
Convert 3 to fraction \frac{21}{7}.
\frac{160-21}{7}+4
Since \frac{160}{7} and \frac{21}{7} have the same denominator, subtract them by subtracting their numerators.
\frac{139}{7}+4
Subtract 21 from 160 to get 139.
\frac{139}{7}+\frac{28}{7}
Convert 4 to fraction \frac{28}{7}.
\frac{139+28}{7}
Since \frac{139}{7} and \frac{28}{7} have the same denominator, add them by adding their numerators.
\frac{167}{7}
Add 139 and 28 to get 167.
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}