Solve 4+1/b=2/3

$$4 + \frac { 1 } { b } = \frac { 2 } { 3 }$$

Solve for b

$$b=-\frac{3}{10}=-0.3$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3b, the least common multiple of b,3.

$$3b\times 4+3=2b$$

Multiply 3 and 4 to get 12.

$$12b+3=2b$$

Subtract 2b from both sides.

$$12b+3-2b=0$$

Combine 12b and -2b to get 10b.

$$10b+3=0$$

Subtract 3 from both sides. Anything subtracted from zero gives its negation.

$$10b=-3$$

Divide both sides by 10.

$$b=\frac{-3}{10}$$

Fraction \frac{-3}{10} can be rewritten as -\frac{3}{10} by extracting the negative sign.

$$b=-\frac{3}{10}$$