Solve 3/8y+2/5=1/2

$$\frac { 3 } { 8 } y + \frac { 2 } { 5 } = \frac { 1 } { 2 }$$

Solve for y

$$y=\frac{4}{15}\approx 0.266666667$$

Steps for Solving Linear Equation

Subtract \frac{2}{5} from both sides.

$$\frac{3}{8}y=\frac{1}{2}-\frac{2}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{2}{5} to fractions with denominator 10.

$$\frac{3}{8}y=\frac{5}{10}-\frac{4}{10}$$

Since \frac{5}{10} and \frac{4}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{8}y=\frac{5-4}{10}$$

Subtract 4 from 5 to get 1.

$$\frac{3}{8}y=\frac{1}{10}$$

Multiply both sides by \frac{8}{3}, the reciprocal of \frac{3}{8}.

$$y=\frac{1}{10}\times \frac{8}{3}$$

Multiply \frac{1}{10} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{1\times 8}{10\times 3}$$

Do the multiplications in the fraction \frac{1\times 8}{10\times 3}.

$$y=\frac{8}{30}$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$y=\frac{4}{15}$$