Evaluate
\frac{21}{10}=2.1
Factor
\frac{3 \cdot 7}{2 \cdot 5} = 2\frac{1}{10} = 2.1
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\frac{\left(9b+54\right)\left(7b-14\right)}{\left(15b-30\right)\left(2b+12\right)}
Divide \frac{9b+54}{15b-30} by \frac{2b+12}{7b-14} by multiplying \frac{9b+54}{15b-30} by the reciprocal of \frac{2b+12}{7b-14}.
\frac{7\times 9\left(b-2\right)\left(b+6\right)}{2\times 15\left(b-2\right)\left(b+6\right)}
Factor the expressions that are not already factored.
\frac{3\times 7}{2\times 5}
Cancel out 3\left(b-2\right)\left(b+6\right) in both numerator and denominator.
\frac{21}{2\times 5}
Multiply 3 and 7 to get 21.
\frac{21}{10}
Multiply 2 and 5 to get 10.
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}