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2\left(5\times 4+1\right)\times \frac{1}{2}=2\times 8+5
Multiply both sides of the equation by 8, the least common multiple of 4,2,8.
2\left(20+1\right)\times \frac{1}{2}=2\times 8+5
Multiply 5 and 4 to get 20.
2\times 21\times \frac{1}{2}=2\times 8+5
Add 20 and 1 to get 21.
42\times \frac{1}{2}=2\times 8+5
Multiply 2 and 21 to get 42.
\frac{42}{2}=2\times 8+5
Multiply 42 and \frac{1}{2} to get \frac{42}{2}.
21=2\times 8+5
Divide 42 by 2 to get 21.
21=16+5
Multiply 2 and 8 to get 16.
21=21
Add 16 and 5 to get 21.
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Compare 21 and 21.
Examples
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{ 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}