Evaluate
\frac{3\left(a-b-5\right)}{5\left(1-2a\right)}
Expand
\frac{3\left(5+b-a\right)}{5\left(2a-1\right)}
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\frac{\frac{a-b}{5}-1}{-\frac{2a}{3}+\frac{1}{3}}
Divide b by b to get 1.
\frac{\frac{a-b}{5}-\frac{5}{5}}{-\frac{2a}{3}+\frac{1}{3}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{5}{5}.
\frac{\frac{a-b-5}{5}}{-\frac{2a}{3}+\frac{1}{3}}
Since \frac{a-b}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{a-b-5}{5}}{\frac{2a+1}{3}}
Since \frac{2a}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.
\frac{\left(a-b-5\right)\times 3}{5\left(2a+1\right)}
Divide \frac{a-b-5}{5} by \frac{2a+1}{3} by multiplying \frac{a-b-5}{5} by the reciprocal of \frac{2a+1}{3}.
\frac{3a-3b-15}{5\left(2a+1\right)}
Use the distributive property to multiply a-b-5 by 3.
\frac{3a-3b-15}{10a+5}
Use the distributive property to multiply 5 by 2a+1.
\frac{\frac{a-b}{5}-1}{-\frac{2a}{3}+\frac{1}{3}}
Divide b by b to get 1.
\frac{\frac{a-b}{5}-\frac{5}{5}}{-\frac{2a}{3}+\frac{1}{3}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{5}{5}.
\frac{\frac{a-b-5}{5}}{-\frac{2a}{3}+\frac{1}{3}}
Since \frac{a-b}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{a-b-5}{5}}{\frac{2a+1}{3}}
Since \frac{2a}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.
\frac{\left(a-b-5\right)\times 3}{5\left(2a+1\right)}
Divide \frac{a-b-5}{5} by \frac{2a+1}{3} by multiplying \frac{a-b-5}{5} by the reciprocal of \frac{2a+1}{3}.
\frac{3a-3b-15}{5\left(2a+1\right)}
Use the distributive property to multiply a-b-5 by 3.
\frac{3a-3b-15}{10a+5}
Use the distributive property to multiply 5 by 2a+1.
Examples
Quadratic equation
{ 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}