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3-\frac{\left(3\times 8+5\right)\times 24}{8\left(1\times 24+5\right)}
Divide \frac{3\times 8+5}{8} by \frac{1\times 24+5}{24} by multiplying \frac{3\times 8+5}{8} by the reciprocal of \frac{1\times 24+5}{24}.
3-\frac{3\left(5+3\times 8\right)}{5+24}
Cancel out 8 in both numerator and denominator.
3-\frac{3\left(5+24\right)}{5+24}
Multiply 3 and 8 to get 24.
3-\frac{3\times 29}{5+24}
Add 5 and 24 to get 29.
3-\frac{87}{5+24}
Multiply 3 and 29 to get 87.
3-\frac{87}{29}
Add 5 and 24 to get 29.
3-3
Divide 87 by 29 to get 3.
0
Subtract 3 from 3 to get 0.
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}