| ( 1.5 + 0.25 - \frac { 1 } { 2 } ) * 1,3 | + 0,5
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1.625,5
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1.625,5
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sort(|\left(1.75-\frac{1}{2}\right)\times 1.3|+0,5)
Add 1.5 and 0.25 to get 1.75.
sort(|\left(\frac{7}{4}-\frac{1}{2}\right)\times 1.3|+0,5)
Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.
sort(|\left(\frac{7}{4}-\frac{2}{4}\right)\times 1.3|+0,5)
Least common multiple of 4 and 2 is 4. Convert \frac{7}{4} and \frac{1}{2} to fractions with denominator 4.
sort(|\frac{7-2}{4}\times 1.3|+0,5)
Since \frac{7}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.
sort(|\frac{5}{4}\times 1.3|+0,5)
Subtract 2 from 7 to get 5.
sort(|\frac{5}{4}\times \frac{13}{10}|+0,5)
Convert decimal number 1.3 to fraction \frac{13}{10}.
sort(|\frac{5\times 13}{4\times 10}|+0,5)
Multiply \frac{5}{4} times \frac{13}{10} by multiplying numerator times numerator and denominator times denominator.
sort(|\frac{65}{40}|+0,5)
Do the multiplications in the fraction \frac{5\times 13}{4\times 10}.
sort(|\frac{13}{8}|+0,5)
Reduce the fraction \frac{65}{40} to lowest terms by extracting and canceling out 5.
sort(\frac{13}{8}+0,5)
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{13}{8} is \frac{13}{8}.
sort(\frac{13}{8},5)
Add \frac{13}{8} and 0 to get \frac{13}{8}.
\frac{13}{8},5
Convert decimal numbers in the list \frac{13}{8},5 to fractions.
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}