Evaluate
\frac{7}{10}=0.7
Factor
\frac{7}{2 \cdot 5} = 0.7
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\frac{15-\frac{9}{2}}{15}
Reduce the fraction \frac{180}{40} to lowest terms by extracting and canceling out 20.
\frac{\frac{30}{2}-\frac{9}{2}}{15}
Convert 15 to fraction \frac{30}{2}.
\frac{\frac{30-9}{2}}{15}
Since \frac{30}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{21}{2}}{15}
Subtract 9 from 30 to get 21.
\frac{21}{2\times 15}
Express \frac{\frac{21}{2}}{15} as a single fraction.
\frac{21}{30}
Multiply 2 and 15 to get 30.
\frac{7}{10}
Reduce the fraction \frac{21}{30} to lowest terms by extracting and canceling out 3.
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}