Evaluate
\frac{42}{47}\approx 0.893617021
Factor
\frac{2 \cdot 3 \cdot 7}{47} = 0.8936170212765957
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\frac{2}{2+\frac{1}{\frac{20}{5}+\frac{1}{5}}}
Convert 4 to fraction \frac{20}{5}.
\frac{2}{2+\frac{1}{\frac{20+1}{5}}}
Since \frac{20}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.
\frac{2}{2+\frac{1}{\frac{21}{5}}}
Add 20 and 1 to get 21.
\frac{2}{2+1\times \frac{5}{21}}
Divide 1 by \frac{21}{5} by multiplying 1 by the reciprocal of \frac{21}{5}.
\frac{2}{2+\frac{5}{21}}
Multiply 1 and \frac{5}{21} to get \frac{5}{21}.
\frac{2}{\frac{42}{21}+\frac{5}{21}}
Convert 2 to fraction \frac{42}{21}.
\frac{2}{\frac{42+5}{21}}
Since \frac{42}{21} and \frac{5}{21} have the same denominator, add them by adding their numerators.
\frac{2}{\frac{47}{21}}
Add 42 and 5 to get 47.
2\times \frac{21}{47}
Divide 2 by \frac{47}{21} by multiplying 2 by the reciprocal of \frac{47}{21}.
\frac{2\times 21}{47}
Express 2\times \frac{21}{47} as a single fraction.
\frac{42}{47}
Multiply 2 and 21 to get 42.
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}