Evaluate
\frac{33}{5}=6.6
Factor
\frac{3 \cdot 11}{5} = 6\frac{3}{5} = 6.6
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\left(\frac{75}{5}+\frac{2}{5}\right)\times \frac{3}{7}
Convert 15 to fraction \frac{75}{5}.
\frac{75+2}{5}\times \frac{3}{7}
Since \frac{75}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.
\frac{77}{5}\times \frac{3}{7}
Add 75 and 2 to get 77.
\frac{77\times 3}{5\times 7}
Multiply \frac{77}{5} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{231}{35}
Do the multiplications in the fraction \frac{77\times 3}{5\times 7}.
\frac{33}{5}
Reduce the fraction \frac{231}{35} to lowest terms by extracting and canceling out 7.
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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
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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}