0,8 - \frac { 0,4 } { 0,3 + 0,5 }
Evaluate
0,3
Factor
\frac{3}{2 \cdot 5} = 0.3
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0,8-\frac{0,4}{0,8}
Add 0,3 and 0,5 to get 0,8.
0,8-\frac{4}{8}
Expand \frac{0,4}{0,8} by multiplying both numerator and the denominator by 10.
0,8-\frac{1}{2}
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
\frac{4}{5}-\frac{1}{2}
Convert decimal number 0,8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.
\frac{8}{10}-\frac{5}{10}
Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{1}{2} to fractions with denominator 10.
\frac{8-5}{10}
Since \frac{8}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{10}
Subtract 5 from 8 to get 3.
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}