\frac { 4 } { 5 } \cdot ( 3 + 0,4 ) - 3,2 \cdot 1 =
Evaluate
-0,48
Factor
-0,48
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\frac{4}{5}\times 3,4-3,2\times 1
Add 3 and 0,4 to get 3,4.
\frac{4}{5}\times \frac{17}{5}-3,2\times 1
Convert decimal number 3,4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.
\frac{4\times 17}{5\times 5}-3,2\times 1
Multiply \frac{4}{5} times \frac{17}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{68}{25}-3,2\times 1
Do the multiplications in the fraction \frac{4\times 17}{5\times 5}.
\frac{68}{25}-3,2
Multiply 3,2 and 1 to get 3,2.
\frac{68}{25}-\frac{16}{5}
Convert decimal number 3,2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.
\frac{68}{25}-\frac{80}{25}
Least common multiple of 25 and 5 is 25. Convert \frac{68}{25} and \frac{16}{5} to fractions with denominator 25.
\frac{68-80}{25}
Since \frac{68}{25} and \frac{80}{25} have the same denominator, subtract them by subtracting their numerators.
-\frac{12}{25}
Subtract 80 from 68 to get -12.
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}