5 \frac { 5 } { 6 } - 0,5 \times \frac { 5 } { 3 }
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5
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\frac{30+5}{6}-0,5\times \frac{5}{3}
Multiply 5 and 6 to get 30.
\frac{35}{6}-0,5\times \frac{5}{3}
Add 30 and 5 to get 35.
\frac{35}{6}-\frac{1}{2}\times \frac{5}{3}
Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
\frac{35}{6}-\frac{1\times 5}{2\times 3}
Multiply \frac{1}{2} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{35}{6}-\frac{5}{6}
Do the multiplications in the fraction \frac{1\times 5}{2\times 3}.
\frac{35-5}{6}
Since \frac{35}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{30}{6}
Subtract 5 from 35 to get 30.
5
Divide 30 by 6 to get 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}