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\frac{15}{2.25-3}=\frac{10}{4\times 1.125\times 5}
Multiply 2 and 1.125 to get 2.25.
\frac{15}{-0.75}=\frac{10}{4\times 1.125\times 5}
Subtract 3 from 2.25 to get -0.75.
\frac{1500}{-75}=\frac{10}{4\times 1.125\times 5}
Expand \frac{15}{-0.75} by multiplying both numerator and the denominator by 100.
-20=\frac{10}{4\times 1.125\times 5}
Divide 1500 by -75 to get -20.
-20=\frac{10}{4.5\times 5}
Multiply 4 and 1.125 to get 4.5.
-20=\frac{10}{22.5}
Multiply 4.5 and 5 to get 22.5.
-20=\frac{100}{225}
Expand \frac{10}{22.5} by multiplying both numerator and the denominator by 10.
-20=\frac{4}{9}
Reduce the fraction \frac{100}{225} to lowest terms by extracting and canceling out 25.
-\frac{180}{9}=\frac{4}{9}
Convert -20 to fraction -\frac{180}{9}.
\text{false}
Compare -\frac{180}{9} and \frac{4}{9}.
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}