Evaluate
\frac{51}{20}=2.55
Factor
\frac{3 \cdot 17}{2 ^ {2} \cdot 5} = 2\frac{11}{20} = 2.55
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\frac{15+2}{5}\times \frac{3}{4}
Multiply 3 and 5 to get 15.
\frac{17}{5}\times \frac{3}{4}
Add 15 and 2 to get 17.
\frac{17\times 3}{5\times 4}
Multiply \frac{17}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{51}{20}
Do the multiplications in the fraction \frac{17\times 3}{5\times 4}.
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y = 3x + 4
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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}