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\frac{-5\times 2}{3}\left(-1.5\right)\times 0.2
Express -5\times \frac{2}{3} as a single fraction.
\frac{-10}{3}\left(-1.5\right)\times 0.2
Multiply -5 and 2 to get -10.
-\frac{10}{3}\left(-1.5\right)\times 0.2
Fraction \frac{-10}{3} can be rewritten as -\frac{10}{3} by extracting the negative sign.
-\frac{10}{3}\left(-\frac{3}{2}\right)\times 0.2
Convert decimal number -1.5 to fraction -\frac{15}{10}. Reduce the fraction -\frac{15}{10} to lowest terms by extracting and canceling out 5.
\frac{-10\left(-3\right)}{3\times 2}\times 0.2
Multiply -\frac{10}{3} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{30}{6}\times 0.2
Do the multiplications in the fraction \frac{-10\left(-3\right)}{3\times 2}.
5\times 0.2
Divide 30 by 6 to get 5.
1
Multiply 5 and 0.2 to get 1.
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}