Evaluate
4.5
Factor
\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5
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2.25\times 1.5\times \frac{1}{3}\times 4
Multiply 1.5 and 1.5 to get 2.25.
3.375\times \frac{1}{3}\times 4
Multiply 2.25 and 1.5 to get 3.375.
\frac{27}{8}\times \frac{1}{3}\times 4
Convert decimal number 3.375 to fraction \frac{3375}{1000}. Reduce the fraction \frac{3375}{1000} to lowest terms by extracting and canceling out 125.
\frac{27\times 1}{8\times 3}\times 4
Multiply \frac{27}{8} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{27}{24}\times 4
Do the multiplications in the fraction \frac{27\times 1}{8\times 3}.
\frac{9}{8}\times 4
Reduce the fraction \frac{27}{24} to lowest terms by extracting and canceling out 3.
\frac{9\times 4}{8}
Express \frac{9}{8}\times 4 as a single fraction.
\frac{36}{8}
Multiply 9 and 4 to get 36.
\frac{9}{2}
Reduce the fraction \frac{36}{8} to lowest terms by extracting and canceling out 4.
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}