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\frac{3}{4}\times 10=\frac{1}{5}\left(2-12\right)
Add 2 and 8 to get 10.
\frac{3\times 10}{4}=\frac{1}{5}\left(2-12\right)
Express \frac{3}{4}\times 10 as a single fraction.
\frac{30}{4}=\frac{1}{5}\left(2-12\right)
Multiply 3 and 10 to get 30.
\frac{15}{2}=\frac{1}{5}\left(2-12\right)
Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.
\frac{15}{2}=\frac{1}{5}\left(-10\right)
Subtract 12 from 2 to get -10.
\frac{15}{2}=\frac{-10}{5}
Multiply \frac{1}{5} and -10 to get \frac{-10}{5}.
\frac{15}{2}=-2
Divide -10 by 5 to get -2.
\frac{15}{2}=-\frac{4}{2}
Convert -2 to fraction -\frac{4}{2}.
\text{false}
Compare \frac{15}{2} and -\frac{4}{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}