Evaluate
\frac{70}{11}\approx 6.363636364
Factor
\frac{2 \cdot 5 \cdot 7}{11} = 6\frac{4}{11} = 6.363636363636363
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20-\frac{3\times 50}{11}
Express \frac{3}{11}\times 50 as a single fraction.
20-\frac{150}{11}
Multiply 3 and 50 to get 150.
\frac{220}{11}-\frac{150}{11}
Convert 20 to fraction \frac{220}{11}.
\frac{220-150}{11}
Since \frac{220}{11} and \frac{150}{11} have the same denominator, subtract them by subtracting their numerators.
\frac{70}{11}
Subtract 150 from 220 to get 70.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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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}