3 - 3 \frac { 1 } { 4 } : 2 \frac { 1 } { 2 } + 0,3 =
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3-\frac{\left(3\times 4+1\right)\times 2}{4\left(2\times 2+1\right)}+0,3
Divide \frac{3\times 4+1}{4} by \frac{2\times 2+1}{2} by multiplying \frac{3\times 4+1}{4} by the reciprocal of \frac{2\times 2+1}{2}.
3-\frac{1+3\times 4}{2\left(1+2\times 2\right)}+0,3
Cancel out 2 in both numerator and denominator.
3-\frac{1+12}{2\left(1+2\times 2\right)}+0,3
Multiply 3 and 4 to get 12.
3-\frac{13}{2\left(1+2\times 2\right)}+0,3
Add 1 and 12 to get 13.
3-\frac{13}{2\left(1+4\right)}+0,3
Multiply 2 and 2 to get 4.
3-\frac{13}{2\times 5}+0,3
Add 1 and 4 to get 5.
3-\frac{13}{10}+0,3
Multiply 2 and 5 to get 10.
\frac{30}{10}-\frac{13}{10}+0,3
Convert 3 to fraction \frac{30}{10}.
\frac{30-13}{10}+0,3
Since \frac{30}{10} and \frac{13}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{17}{10}+0,3
Subtract 13 from 30 to get 17.
\frac{17}{10}+\frac{3}{10}
Convert decimal number 0,3 to fraction \frac{3}{10}.
\frac{17+3}{10}
Since \frac{17}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.
\frac{20}{10}
Add 17 and 3 to get 20.
2
Divide 20 by 10 to get 2.
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}