Evaluate
\frac{161}{30}\approx 5.366666667
Factor
\frac{7 \cdot 23}{2 \cdot 3 \cdot 5} = 5\frac{11}{30} = 5.366666666666666
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\frac{47}{10}+\frac{2}{3}
Convert decimal number 4.7 to fraction \frac{47}{10}.
\frac{141}{30}+\frac{20}{30}
Least common multiple of 10 and 3 is 30. Convert \frac{47}{10} and \frac{2}{3} to fractions with denominator 30.
\frac{141+20}{30}
Since \frac{141}{30} and \frac{20}{30} have the same denominator, add them by adding their numerators.
\frac{161}{30}
Add 141 and 20 to get 161.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}