Evaluate
\frac{3}{10}=0.3
Factor
\frac{3}{2 \cdot 5} = 0.3
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\frac{105625+30625-2\times 325\times 175}{325\times 325-175\times 175}
Multiply 325 and 325 to get 105625. Multiply 175 and 175 to get 30625.
\frac{136250-2\times 325\times 175}{325\times 325-175\times 175}
Add 105625 and 30625 to get 136250.
\frac{136250-650\times 175}{325\times 325-175\times 175}
Multiply 2 and 325 to get 650.
\frac{136250-113750}{325\times 325-175\times 175}
Multiply 650 and 175 to get 113750.
\frac{22500}{325\times 325-175\times 175}
Subtract 113750 from 136250 to get 22500.
\frac{22500}{105625-175\times 175}
Multiply 325 and 325 to get 105625.
\frac{22500}{105625-30625}
Multiply 175 and 175 to get 30625.
\frac{22500}{75000}
Subtract 30625 from 105625 to get 75000.
\frac{3}{10}
Reduce the fraction \frac{22500}{75000} to lowest terms by extracting and canceling out 7500.
Examples
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{ 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}