Evaluate
\frac{3N}{5cm}
Differentiate w.r.t. N
\frac{3}{5cm}
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\frac{18}{5}N\times \frac{1}{6cm}
Divide 36N by 10 to get \frac{18}{5}N.
\frac{18}{5\times 6cm}N
Multiply \frac{18}{5} times \frac{1}{6cm} by multiplying numerator times numerator and denominator times denominator.
\frac{18}{30cm}N
Multiply 5 and 6 to get 30.
\frac{18N}{30cm}
Express \frac{18}{30cm}N as a single fraction.
\frac{3N}{5cm}
Cancel out 6 in both numerator and denominator.
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
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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}