Evaluate
6.24
Factor
\frac{3 \cdot 13 \cdot 2 ^ {2}}{5 ^ {2}} = 6\frac{6}{25} = 6.24
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-\frac{13}{5}\left(-2.4\right)
Fraction \frac{-13}{5} can be rewritten as -\frac{13}{5} by extracting the negative sign.
-\frac{13}{5}\left(-\frac{12}{5}\right)
Convert decimal number -2.4 to fraction -\frac{24}{10}. Reduce the fraction -\frac{24}{10} to lowest terms by extracting and canceling out 2.
\frac{-13\left(-12\right)}{5\times 5}
Multiply -\frac{13}{5} times -\frac{12}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{156}{25}
Do the multiplications in the fraction \frac{-13\left(-12\right)}{5\times 5}.
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}