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Arithmetic
5 problems similar to:
3 \frac { 2 } { 5 } \div 2 \frac { 1 } { 2 } = 6 \frac { 4 } { 5 }
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2\times \frac{3\times 5+2}{5}=6\times 5+4
Multiply both sides of the equation by 5.
2\times \frac{15+2}{5}=6\times 5+4
Multiply 3 and 5 to get 15.
2\times \frac{17}{5}=6\times 5+4
Add 15 and 2 to get 17.
\frac{2\times 17}{5}=6\times 5+4
Express 2\times \frac{17}{5} as a single fraction.
\frac{34}{5}=6\times 5+4
Multiply 2 and 17 to get 34.
\frac{34}{5}=30+4
Multiply 6 and 5 to get 30.
\frac{34}{5}=34
Add 30 and 4 to get 34.
\frac{34}{5}=\frac{170}{5}
Convert 34 to fraction \frac{170}{5}.
\text{false}
Compare \frac{34}{5} and \frac{170}{5}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}