Evaluate
\frac{66}{25}=2.64
Factor
\frac{2 \cdot 3 \cdot 11}{5 ^ {2}} = 2\frac{16}{25} = 2.64
Quiz
Arithmetic
5 problems similar to:
- ( - \frac { 2 } { 5 } ) ^ { 2 } + 3 ( - \frac { 2 } { 5 } ) + 4
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-\frac{4}{25}+3\left(-\frac{2}{5}\right)+4
Calculate -\frac{2}{5} to the power of 2 and get \frac{4}{25}.
-\frac{4}{25}+\frac{3\left(-2\right)}{5}+4
Express 3\left(-\frac{2}{5}\right) as a single fraction.
-\frac{4}{25}+\frac{-6}{5}+4
Multiply 3 and -2 to get -6.
-\frac{4}{25}-\frac{6}{5}+4
Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.
-\frac{4}{25}-\frac{30}{25}+4
Least common multiple of 25 and 5 is 25. Convert -\frac{4}{25} and \frac{6}{5} to fractions with denominator 25.
\frac{-4-30}{25}+4
Since -\frac{4}{25} and \frac{30}{25} have the same denominator, subtract them by subtracting their numerators.
-\frac{34}{25}+4
Subtract 30 from -4 to get -34.
-\frac{34}{25}+\frac{100}{25}
Convert 4 to fraction \frac{100}{25}.
\frac{-34+100}{25}
Since -\frac{34}{25} and \frac{100}{25} have the same denominator, add them by adding their numerators.
\frac{66}{25}
Add -34 and 100 to get 66.
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}