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Quiz
Arithmetic
5 problems similar to:
2 \frac { 2 } { 3 } : 2 \frac { 1 } { 3 } = 1 \frac { 1 } { 7 }
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3\times \frac{2\times 3+2}{3}=1\times 7+1
Multiply both sides of the equation by 7.
3\times \frac{6+2}{3}=1\times 7+1
Multiply 2 and 3 to get 6.
3\times \frac{8}{3}=1\times 7+1
Add 6 and 2 to get 8.
8=1\times 7+1
Cancel out 3 and 3.
8=7+1
Multiply 1 and 7 to get 7.
8=8
Add 7 and 1 to get 8.
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Compare 8 and 8.
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}