Evaluate
\frac{79}{4}=19.75
Factor
\frac{79}{2 ^ {2}} = 19\frac{3}{4} = 19.75
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\frac{\left(13\times 6+1\right)\times 3}{6\times 2}
Divide \frac{13\times 6+1}{6} by \frac{2}{3} by multiplying \frac{13\times 6+1}{6} by the reciprocal of \frac{2}{3}.
\frac{1+6\times 13}{2\times 2}
Cancel out 3 in both numerator and denominator.
\frac{1+78}{2\times 2}
Multiply 6 and 13 to get 78.
\frac{79}{2\times 2}
Add 1 and 78 to get 79.
\frac{79}{4}
Multiply 2 and 2 to get 4.
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}