Evaluate
\frac{77}{15}\approx 5.133333333
Factor
\frac{7 \cdot 11}{3 \cdot 5} = 5\frac{2}{15} = 5.133333333333334
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\frac{\left(2\times 5+1\right)\times 7}{5\times 3}
Divide \frac{2\times 5+1}{5} by \frac{3}{7} by multiplying \frac{2\times 5+1}{5} by the reciprocal of \frac{3}{7}.
\frac{\left(10+1\right)\times 7}{5\times 3}
Multiply 2 and 5 to get 10.
\frac{11\times 7}{5\times 3}
Add 10 and 1 to get 11.
\frac{77}{5\times 3}
Multiply 11 and 7 to get 77.
\frac{77}{15}
Multiply 5 and 3 to get 15.
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}