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2\times \frac{5-50}{6}=3\times \frac{3}{4}
Multiply both sides of the equation by 18, the least common multiple of 9,6.
2\times \frac{-45}{6}=3\times \frac{3}{4}
Subtract 50 from 5 to get -45.
2\left(-\frac{15}{2}\right)=3\times \frac{3}{4}
Reduce the fraction \frac{-45}{6} to lowest terms by extracting and canceling out 3.
-15=3\times \frac{3}{4}
Cancel out 2 and 2.
-15=\frac{3\times 3}{4}
Express 3\times \frac{3}{4} as a single fraction.
-15=\frac{9}{4}
Multiply 3 and 3 to get 9.
-\frac{60}{4}=\frac{9}{4}
Convert -15 to fraction -\frac{60}{4}.
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Compare -\frac{60}{4} and \frac{9}{4}.
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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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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
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