20 \times ( \frac { 45 } { 025 } + \frac { 6 } { 02 }
Evaluate
96
Factor
2^{5}\times 3
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20\left(\frac{9}{5}+\frac{6}{2}\right)
Reduce the fraction \frac{45}{25} to lowest terms by extracting and canceling out 5.
20\left(\frac{9}{5}+3\right)
Divide 6 by 2 to get 3.
20\left(\frac{9}{5}+\frac{15}{5}\right)
Convert 3 to fraction \frac{15}{5}.
20\times \frac{9+15}{5}
Since \frac{9}{5} and \frac{15}{5} have the same denominator, add them by adding their numerators.
20\times \frac{24}{5}
Add 9 and 15 to get 24.
\frac{20\times 24}{5}
Express 20\times \frac{24}{5} as a single fraction.
\frac{480}{5}
Multiply 20 and 24 to get 480.
96
Divide 480 by 5 to get 96.
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}