( 1 - 0,7 ) \cdot 0,2 + 1,8 : 2 - 1 =
Evaluate
-0,04
Factor
-0,04
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0,3\times 0,2+\frac{1,8}{2}-1
Subtract 0,7 from 1 to get 0,3.
0,06+\frac{1,8}{2}-1
Multiply 0,3 and 0,2 to get 0,06.
0,06+\frac{18}{20}-1
Expand \frac{1,8}{2} by multiplying both numerator and the denominator by 10.
0,06+\frac{9}{10}-1
Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.
\frac{3}{50}+\frac{9}{10}-1
Convert decimal number 0,06 to fraction \frac{6}{100}. Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.
\frac{3}{50}+\frac{45}{50}-1
Least common multiple of 50 and 10 is 50. Convert \frac{3}{50} and \frac{9}{10} to fractions with denominator 50.
\frac{3+45}{50}-1
Since \frac{3}{50} and \frac{45}{50} have the same denominator, add them by adding their numerators.
\frac{48}{50}-1
Add 3 and 45 to get 48.
\frac{24}{25}-1
Reduce the fraction \frac{48}{50} to lowest terms by extracting and canceling out 2.
\frac{24}{25}-\frac{25}{25}
Convert 1 to fraction \frac{25}{25}.
\frac{24-25}{25}
Since \frac{24}{25} and \frac{25}{25} have the same denominator, subtract them by subtracting their numerators.
-\frac{1}{25}
Subtract 25 from 24 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}