Evaluate
5.625
Factor
\frac{5 \cdot 3 ^ {2}}{2 ^ {3}} = 5\frac{5}{8} = 5.625
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\frac{25}{2}\times 9\times 0.25\times 0.2
Reduce the fraction \frac{50}{4} to lowest terms by extracting and canceling out 2.
\frac{25\times 9}{2}\times 0.25\times 0.2
Express \frac{25}{2}\times 9 as a single fraction.
\frac{225}{2}\times 0.25\times 0.2
Multiply 25 and 9 to get 225.
\frac{225}{2}\times \frac{1}{4}\times 0.2
Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
\frac{225\times 1}{2\times 4}\times 0.2
Multiply \frac{225}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{225}{8}\times 0.2
Do the multiplications in the fraction \frac{225\times 1}{2\times 4}.
\frac{225}{8}\times \frac{1}{5}
Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.
\frac{225\times 1}{8\times 5}
Multiply \frac{225}{8} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{225}{40}
Do the multiplications in the fraction \frac{225\times 1}{8\times 5}.
\frac{45}{8}
Reduce the fraction \frac{225}{40} to lowest terms by extracting and canceling out 5.
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}