Evaluate
\frac{77}{25}=3.08
Factor
\frac{7 \cdot 11}{5 ^ {2}} = 3\frac{2}{25} = 3.08
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\frac{2}{25}+10-7
Reduce the fraction \frac{6}{75} to lowest terms by extracting and canceling out 3.
\frac{2}{25}+\frac{250}{25}-7
Convert 10 to fraction \frac{250}{25}.
\frac{2+250}{25}-7
Since \frac{2}{25} and \frac{250}{25} have the same denominator, add them by adding their numerators.
\frac{252}{25}-7
Add 2 and 250 to get 252.
\frac{252}{25}-\frac{175}{25}
Convert 7 to fraction \frac{175}{25}.
\frac{252-175}{25}
Since \frac{252}{25} and \frac{175}{25} have the same denominator, subtract them by subtracting their numerators.
\frac{77}{25}
Subtract 175 from 252 to get 77.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}