Evaluate
6
Factor
2\times 3
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\frac{\left(7\times 5+3\right)\times 15}{5\left(1\times 15+4\right)}
Divide \frac{7\times 5+3}{5} by \frac{1\times 15+4}{15} by multiplying \frac{7\times 5+3}{5} by the reciprocal of \frac{1\times 15+4}{15}.
\frac{3\left(3+5\times 7\right)}{4+15}
Cancel out 5 in both numerator and denominator.
\frac{3\left(3+35\right)}{4+15}
Multiply 5 and 7 to get 35.
\frac{3\times 38}{4+15}
Add 3 and 35 to get 38.
\frac{114}{4+15}
Multiply 3 and 38 to get 114.
\frac{114}{19}
Add 4 and 15 to get 19.
6
Divide 114 by 19 to get 6.
Examples
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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}