Solve for a
a = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333
Assign a
a≔\frac{7}{3}
Share
Copied to clipboard
a=5+\frac{2\left(-4\right)}{3}
Express 2\left(-\frac{4}{3}\right) as a single fraction.
a=5+\frac{-8}{3}
Multiply 2 and -4 to get -8.
a=5-\frac{8}{3}
Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.
a=\frac{15}{3}-\frac{8}{3}
Convert 5 to fraction \frac{15}{3}.
a=\frac{15-8}{3}
Since \frac{15}{3} and \frac{8}{3} have the same denominator, subtract them by subtracting their numerators.
a=\frac{7}{3}
Subtract 8 from 15 to get 7.
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}