Evaluate
\frac{ab+18}{260}
Expand
\frac{ab}{260}+\frac{9}{130}
Graph
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\frac{x+\frac{1}{18}abx}{3x+\frac{412}{36}x}
Divide 2ab by 36 to get \frac{1}{18}ab.
\frac{x+\frac{1}{18}abx}{3x+\frac{103}{9}x}
Reduce the fraction \frac{412}{36} to lowest terms by extracting and canceling out 4.
\frac{x+\frac{1}{18}abx}{\frac{130}{9}x}
Combine 3x and \frac{103}{9}x to get \frac{130}{9}x.
\frac{\frac{1}{18}x\left(ab+18\right)}{\frac{130}{9}x}
Factor the expressions that are not already factored.
\frac{\frac{1}{18}\left(ab+18\right)}{\frac{130}{9}}
Cancel out x in both numerator and denominator.
\frac{\frac{1}{18}ab+1}{\frac{130}{9}}
Expand the expression.
\frac{\left(\frac{1}{18}ab+1\right)\times 9}{130}
Divide \frac{1}{18}ab+1 by \frac{130}{9} by multiplying \frac{1}{18}ab+1 by the reciprocal of \frac{130}{9}.
\frac{\frac{1}{18}ab\times 9+9}{130}
Use the distributive property to multiply \frac{1}{18}ab+1 by 9.
\frac{\frac{9}{18}ab+9}{130}
Multiply \frac{1}{18} and 9 to get \frac{9}{18}.
\frac{\frac{1}{2}ab+9}{130}
Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.
\frac{x+\frac{1}{18}abx}{3x+\frac{412}{36}x}
Divide 2ab by 36 to get \frac{1}{18}ab.
\frac{x+\frac{1}{18}abx}{3x+\frac{103}{9}x}
Reduce the fraction \frac{412}{36} to lowest terms by extracting and canceling out 4.
\frac{x+\frac{1}{18}abx}{\frac{130}{9}x}
Combine 3x and \frac{103}{9}x to get \frac{130}{9}x.
\frac{\frac{1}{18}x\left(ab+18\right)}{\frac{130}{9}x}
Factor the expressions that are not already factored.
\frac{\frac{1}{18}\left(ab+18\right)}{\frac{130}{9}}
Cancel out x in both numerator and denominator.
\frac{\frac{1}{18}ab+1}{\frac{130}{9}}
Expand the expression.
\frac{\left(\frac{1}{18}ab+1\right)\times 9}{130}
Divide \frac{1}{18}ab+1 by \frac{130}{9} by multiplying \frac{1}{18}ab+1 by the reciprocal of \frac{130}{9}.
\frac{\frac{1}{18}ab\times 9+9}{130}
Use the distributive property to multiply \frac{1}{18}ab+1 by 9.
\frac{\frac{9}{18}ab+9}{130}
Multiply \frac{1}{18} and 9 to get \frac{9}{18}.
\frac{\frac{1}{2}ab+9}{130}
Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}