Evaluate
\frac{33}{7}\approx 4.714285714
Factor
\frac{3 \cdot 11}{7} = 4\frac{5}{7} = 4.714285714285714
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\frac{28+6}{7}-\frac{1}{7}
Multiply 4 and 7 to get 28.
\frac{34}{7}-\frac{1}{7}
Add 28 and 6 to get 34.
\frac{34-1}{7}
Since \frac{34}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.
\frac{33}{7}
Subtract 1 from 34 to get 33.
Examples
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y = 3x + 4
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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}