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\frac{-4}{-5}=3-5\times \frac{1}{2}
Subtract 7 from 2 to get -5.
\frac{4}{5}=3-5\times \frac{1}{2}
Fraction \frac{-4}{-5} can be simplified to \frac{4}{5} by removing the negative sign from both the numerator and the denominator.
\frac{4}{5}=3-\frac{5}{2}
Multiply 5 and \frac{1}{2} to get \frac{5}{2}.
\frac{4}{5}=\frac{6}{2}-\frac{5}{2}
Convert 3 to fraction \frac{6}{2}.
\frac{4}{5}=\frac{6-5}{2}
Since \frac{6}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{4}{5}=\frac{1}{2}
Subtract 5 from 6 to get 1.
\frac{8}{10}=\frac{5}{10}
Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{1}{2} to fractions with denominator 10.
\text{false}
Compare \frac{8}{10} and \frac{5}{10}.
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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}