Evaluate
\frac{31}{20}=1.55
Factor
\frac{31}{2 ^ {2} \cdot 5} = 1\frac{11}{20} = 1.55
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\frac{11}{20}+\frac{10}{20}+\frac{1}{2}
Least common multiple of 20 and 2 is 20. Convert \frac{11}{20} and \frac{1}{2} to fractions with denominator 20.
\frac{11+10}{20}+\frac{1}{2}
Since \frac{11}{20} and \frac{10}{20} have the same denominator, add them by adding their numerators.
\frac{21}{20}+\frac{1}{2}
Add 11 and 10 to get 21.
\frac{21}{20}+\frac{10}{20}
Least common multiple of 20 and 2 is 20. Convert \frac{21}{20} and \frac{1}{2} to fractions with denominator 20.
\frac{21+10}{20}
Since \frac{21}{20} and \frac{10}{20} have the same denominator, add them by adding their numerators.
\frac{31}{20}
Add 21 and 10 to get 31.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}