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Arithmetic
5 problems similar to:
1 = \frac { 3 } { 4 } + \frac { 4 } { 5 } + 2 \frac { 1 } { 2 }
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20=15+16+10\left(2\times 2+1\right)
Multiply both sides of the equation by 20, the least common multiple of 4,5,2.
20=31+10\left(2\times 2+1\right)
Add 15 and 16 to get 31.
20=31+10\left(4+1\right)
Multiply 2 and 2 to get 4.
20=31+10\times 5
Add 4 and 1 to get 5.
20=31+50
Multiply 10 and 5 to get 50.
20=81
Add 31 and 50 to get 81.
\text{false}
Compare 20 and 81.
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}