Evaluate
\frac{10292}{175}\approx 58.811428571
Factor
\frac{2 ^ {2} \cdot 31 \cdot 83}{5 ^ {2} \cdot 7} = 58\frac{142}{175} = 58.81142857142857
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\frac{\frac{5145+1}{15}\times 6}{35}
Multiply 343 and 15 to get 5145.
\frac{\frac{5146}{15}\times 6}{35}
Add 5145 and 1 to get 5146.
\frac{\frac{5146\times 6}{15}}{35}
Express \frac{5146}{15}\times 6 as a single fraction.
\frac{\frac{30876}{15}}{35}
Multiply 5146 and 6 to get 30876.
\frac{\frac{10292}{5}}{35}
Reduce the fraction \frac{30876}{15} to lowest terms by extracting and canceling out 3.
\frac{10292}{5\times 35}
Express \frac{\frac{10292}{5}}{35} as a single fraction.
\frac{10292}{175}
Multiply 5 and 35 to get 175.
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}