Evaluate
2.25
Factor
\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25
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\frac{6.5+2.5+2.5+2.5+2+2+2+1+1.5}{10}
Add 3 and 3.5 to get 6.5.
\frac{9+2.5+2.5+2+2+2+1+1.5}{10}
Add 6.5 and 2.5 to get 9.
\frac{11.5+2.5+2+2+2+1+1.5}{10}
Add 9 and 2.5 to get 11.5.
\frac{14+2+2+2+1+1.5}{10}
Add 11.5 and 2.5 to get 14.
\frac{16+2+2+1+1.5}{10}
Add 14 and 2 to get 16.
\frac{18+2+1+1.5}{10}
Add 16 and 2 to get 18.
\frac{20+1+1.5}{10}
Add 18 and 2 to get 20.
\frac{21+1.5}{10}
Add 20 and 1 to get 21.
\frac{22.5}{10}
Add 21 and 1.5 to get 22.5.
\frac{225}{100}
Expand \frac{22.5}{10} by multiplying both numerator and the denominator by 10.
\frac{9}{4}
Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.
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}