Evaluate
36
Factor
2^{2}\times 3^{2}
Quiz
Arithmetic
5 problems similar to:
\frac { 9 } { 2 } \div \frac { 1 } { 6 } \div \frac { 3 } { 4 } =
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\frac{\frac{9}{2}\times 4}{\frac{1}{6}\times 3}
Divide \frac{\frac{9}{2}}{\frac{1}{6}} by \frac{3}{4} by multiplying \frac{\frac{9}{2}}{\frac{1}{6}} by the reciprocal of \frac{3}{4}.
\frac{\frac{9\times 4}{2}}{\frac{1}{6}\times 3}
Express \frac{9}{2}\times 4 as a single fraction.
\frac{\frac{36}{2}}{\frac{1}{6}\times 3}
Multiply 9 and 4 to get 36.
\frac{18}{\frac{1}{6}\times 3}
Divide 36 by 2 to get 18.
\frac{18}{\frac{3}{6}}
Multiply \frac{1}{6} and 3 to get \frac{3}{6}.
\frac{18}{\frac{1}{2}}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.
18\times 2
Divide 18 by \frac{1}{2} by multiplying 18 by the reciprocal of \frac{1}{2}.
36
Multiply 18 and 2 to get 36.
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}