Evaluate
\frac{1}{8}=0.125
Factor
\frac{1}{2 ^ {3}} = 0.125
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1-\frac{5}{8}\times \frac{7}{5}
Divide \frac{5}{8} by \frac{5}{7} by multiplying \frac{5}{8} by the reciprocal of \frac{5}{7}.
1-\frac{5\times 7}{8\times 5}
Multiply \frac{5}{8} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.
1-\frac{7}{8}
Cancel out 5 in both numerator and denominator.
\frac{8}{8}-\frac{7}{8}
Convert 1 to fraction \frac{8}{8}.
\frac{8-7}{8}
Since \frac{8}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{8}
Subtract 7 from 8 to get 1.
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}