Evaluate
\frac{1}{20}=0.05
Factor
\frac{1}{2 ^ {2} \cdot 5} = 0.05
Quiz
Arithmetic
5 problems similar to:
\frac { 1 } { 5 } \div \frac { 6 } { 3 } \div \frac { 8 } { 4 } =
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\frac{\frac{1}{5}\times 4}{\frac{6}{3}\times 8}
Divide \frac{\frac{1}{5}}{\frac{6}{3}} by \frac{8}{4} by multiplying \frac{\frac{1}{5}}{\frac{6}{3}} by the reciprocal of \frac{8}{4}.
\frac{\frac{4}{5}}{\frac{6}{3}\times 8}
Multiply \frac{1}{5} and 4 to get \frac{4}{5}.
\frac{\frac{4}{5}}{2\times 8}
Divide 6 by 3 to get 2.
\frac{\frac{4}{5}}{16}
Multiply 2 and 8 to get 16.
\frac{4}{5\times 16}
Express \frac{\frac{4}{5}}{16} as a single fraction.
\frac{4}{80}
Multiply 5 and 16 to get 80.
\frac{1}{20}
Reduce the fraction \frac{4}{80} to lowest terms by extracting and canceling out 4.
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}