Solve for n
n=\frac{3}{13}\approx 0.230769231
Share
Copied to clipboard
\frac{3\times 15}{13}-2n=3
Express 3\times \frac{15}{13} as a single fraction.
\frac{45}{13}-2n=3
Multiply 3 and 15 to get 45.
-2n=3-\frac{45}{13}
Subtract \frac{45}{13} from both sides.
-2n=\frac{39}{13}-\frac{45}{13}
Convert 3 to fraction \frac{39}{13}.
-2n=\frac{39-45}{13}
Since \frac{39}{13} and \frac{45}{13} have the same denominator, subtract them by subtracting their numerators.
-2n=-\frac{6}{13}
Subtract 45 from 39 to get -6.
n=\frac{-\frac{6}{13}}{-2}
Divide both sides by -2.
n=\frac{-6}{13\left(-2\right)}
Express \frac{-\frac{6}{13}}{-2} as a single fraction.
n=\frac{-6}{-26}
Multiply 13 and -2 to get -26.
n=\frac{3}{13}
Reduce the fraction \frac{-6}{-26} to lowest terms by extracting and canceling out -2.
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}