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\frac{3y}{20}
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\frac{3y}{20}
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\frac{\frac{1}{4}-5^{-1}}{3^{-1}}y
Calculate 4 to the power of -1 and get \frac{1}{4}.
\frac{\frac{1}{4}-\frac{1}{5}}{3^{-1}}y
Calculate 5 to the power of -1 and get \frac{1}{5}.
\frac{\frac{1}{20}}{3^{-1}}y
Subtract \frac{1}{5} from \frac{1}{4} to get \frac{1}{20}.
\frac{\frac{1}{20}}{\frac{1}{3}}y
Calculate 3 to the power of -1 and get \frac{1}{3}.
\frac{1}{20}\times 3y
Divide \frac{1}{20} by \frac{1}{3} by multiplying \frac{1}{20} by the reciprocal of \frac{1}{3}.
\frac{3}{20}y
Multiply \frac{1}{20} and 3 to get \frac{3}{20}.
\frac{\frac{1}{4}-5^{-1}}{3^{-1}}y
Calculate 4 to the power of -1 and get \frac{1}{4}.
\frac{\frac{1}{4}-\frac{1}{5}}{3^{-1}}y
Calculate 5 to the power of -1 and get \frac{1}{5}.
\frac{\frac{1}{20}}{3^{-1}}y
Subtract \frac{1}{5} from \frac{1}{4} to get \frac{1}{20}.
\frac{\frac{1}{20}}{\frac{1}{3}}y
Calculate 3 to the power of -1 and get \frac{1}{3}.
\frac{1}{20}\times 3y
Divide \frac{1}{20} by \frac{1}{3} by multiplying \frac{1}{20} by the reciprocal of \frac{1}{3}.
\frac{3}{20}y
Multiply \frac{1}{20} and 3 to get \frac{3}{20}.
Examples
Quadratic equation
{ 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}