Evaluate
\frac{1}{3}\approx 0.333333333
Factor
\frac{1}{3} = 0.3333333333333333
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\frac{7}{75}+\frac{18}{75}
Least common multiple of 75 and 25 is 75. Convert \frac{7}{75} and \frac{6}{25} to fractions with denominator 75.
\frac{7+18}{75}
Since \frac{7}{75} and \frac{18}{75} have the same denominator, add them by adding their numerators.
\frac{25}{75}
Add 7 and 18 to get 25.
\frac{1}{3}
Reduce the fraction \frac{25}{75} to lowest terms by extracting and canceling out 25.
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y = 3x + 4
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Matrix
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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}