Evaluate
\frac{149}{18}\approx 8.277777778
Factor
\frac{149}{2 \cdot 3 ^ {2}} = 8\frac{5}{18} = 8.277777777777779
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\frac{1\times 5}{9\times 2}+8
Multiply \frac{1}{9} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{18}+8
Do the multiplications in the fraction \frac{1\times 5}{9\times 2}.
\frac{5}{18}+\frac{144}{18}
Convert 8 to fraction \frac{144}{18}.
\frac{5+144}{18}
Since \frac{5}{18} and \frac{144}{18} have the same denominator, add them by adding their numerators.
\frac{149}{18}
Add 5 and 144 to get 149.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}