Solve 3/a+1/2=11/5a

$$\frac { 3 } { a } + \frac { 1 } { 2 } = \frac { 11 } { 5 a }$$

Solve for a

$$a = -\frac{8}{5} = -1\frac{3}{5} = -1.6$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10a, the least common multiple of a,2,5a.

$$10\times 3+10a\times \frac{1}{2}=2\times 11$$

Multiply 10 and 3 to get 30.

$$30+10a\times \frac{1}{2}=2\times 11$$

Multiply 10 and \frac{1}{2} to get 5.

$$30+5a=2\times 11$$

Multiply 2 and 11 to get 22.

$$30+5a=22$$

Subtract 30 from both sides.

$$5a=22-30$$

Subtract 30 from 22 to get -8.

$$5a=-8$$

Divide both sides by 5.

$$a=\frac{-8}{5}$$

Fraction \frac{-8}{5} can be rewritten as -\frac{8}{5} by extracting the negative sign.

$$a=-\frac{8}{5}$$