Evaluate
\frac{38}{11}\approx 3.454545455
Factor
\frac{2 \cdot 19}{11} = 3\frac{5}{11} = 3.4545454545454546
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\frac{35+3}{7}\times \frac{7}{11}
Multiply 5 and 7 to get 35.
\frac{38}{7}\times \frac{7}{11}
Add 35 and 3 to get 38.
\frac{38\times 7}{7\times 11}
Multiply \frac{38}{7} times \frac{7}{11} by multiplying numerator times numerator and denominator times denominator.
\frac{38}{11}
Cancel out 7 in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}