1,2 : 0,6 \cdot ( 0,5 - 0,4 ) + 0,3 \cdot 0,2 : 0,1
Evaluate
0,8
Factor
\frac{2 ^ {2}}{5} = 0.8
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\frac{12}{6}\left(0,5-0,4\right)+\frac{0,3\times 0,2}{0,1}
Expand \frac{1,2}{0,6} by multiplying both numerator and the denominator by 10.
2\left(0,5-0,4\right)+\frac{0,3\times 0,2}{0,1}
Divide 12 by 6 to get 2.
2\times 0,1+\frac{0,3\times 0,2}{0,1}
Subtract 0,4 from 0,5 to get 0,1.
0,2+\frac{0,3\times 0,2}{0,1}
Multiply 2 and 0,1 to get 0,2.
0,2+\frac{0,06}{0,1}
Multiply 0,3 and 0,2 to get 0,06.
0,2+\frac{6}{10}
Expand \frac{0,06}{0,1} by multiplying both numerator and the denominator by 100.
0,2+\frac{3}{5}
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
\frac{1}{5}+\frac{3}{5}
Convert decimal number 0,2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.
\frac{1+3}{5}
Since \frac{1}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.
\frac{4}{5}
Add 1 and 3 to get 4.
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}