Evaluate
\frac{75}{88}\approx 0.852272727
Factor
\frac{3 \cdot 5 ^ {2}}{2 ^ {3} \cdot 11} = 0.8522727272727273
Share
Copied to clipboard
\frac{\left(1\times 8+7\right)\times 5}{8\left(2\times 5+1\right)}
Divide \frac{1\times 8+7}{8} by \frac{2\times 5+1}{5} by multiplying \frac{1\times 8+7}{8} by the reciprocal of \frac{2\times 5+1}{5}.
\frac{\left(8+7\right)\times 5}{8\left(2\times 5+1\right)}
Multiply 1 and 8 to get 8.
\frac{15\times 5}{8\left(2\times 5+1\right)}
Add 8 and 7 to get 15.
\frac{75}{8\left(2\times 5+1\right)}
Multiply 15 and 5 to get 75.
\frac{75}{8\left(10+1\right)}
Multiply 2 and 5 to get 10.
\frac{75}{8\times 11}
Add 10 and 1 to get 11.
\frac{75}{88}
Multiply 8 and 11 to get 88.
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}