Solve for a
a=0.5
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2a-0.4=\frac{3}{5}
Swap sides so that all variable terms are on the left hand side.
2a=\frac{3}{5}+0.4
Add 0.4 to both sides.
2a=\frac{3}{5}+\frac{2}{5}
Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.
2a=\frac{3+2}{5}
Since \frac{3}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.
2a=\frac{5}{5}
Add 3 and 2 to get 5.
2a=1
Divide 5 by 5 to get 1.
a=\frac{1}{2}
Divide both sides by 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}