Evaluate
\frac{53}{30}\approx 1.766666667
Factor
\frac{53}{2 \cdot 3 \cdot 5} = 1\frac{23}{30} = 1.7666666666666666
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\frac{1}{10}+\frac{3+2}{3}
Multiply 1 and 3 to get 3.
\frac{1}{10}+\frac{5}{3}
Add 3 and 2 to get 5.
\frac{3}{30}+\frac{50}{30}
Least common multiple of 10 and 3 is 30. Convert \frac{1}{10} and \frac{5}{3} to fractions with denominator 30.
\frac{3+50}{30}
Since \frac{3}{30} and \frac{50}{30} have the same denominator, add them by adding their numerators.
\frac{53}{30}
Add 3 and 50 to get 53.
Examples
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{ 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}