\frac { 22 } { 7 } \times 3,5 \times 3,5 \times 12
Evaluate
462
Factor
2\times 3\times 7\times 11
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\frac{22}{7}\times \frac{7}{2}\times 3,5\times 12
Convert decimal number 3,5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.
\frac{22\times 7}{7\times 2}\times 3,5\times 12
Multiply \frac{22}{7} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{22}{2}\times 3,5\times 12
Cancel out 7 in both numerator and denominator.
11\times 3,5\times 12
Divide 22 by 2 to get 11.
38,5\times 12
Multiply 11 and 3,5 to get 38,5.
462
Multiply 38,5 and 12 to get 462.
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}