Solve (1/40+1/60)y=1

$$( \frac { 1 } { 40 } + \frac { 1 } { 60 } ) y = 1$$

Solve for y

$$y=24$$

Steps for Solving Linear Equation

Least common multiple of 40 and 60 is 120. Convert \frac{1}{40} and \frac{1}{60} to fractions with denominator 120.

$$\left(\frac{3}{120}+\frac{2}{120}\right)y=1$$

Since \frac{3}{120} and \frac{2}{120} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{120}y=1$$

Add 3 and 2 to get 5.

$$\frac{5}{120}y=1$$

Reduce the fraction \frac{5}{120} to lowest terms by extracting and canceling out 5.

$$\frac{1}{24}y=1$$

Multiply both sides by 24, the reciprocal of \frac{1}{24}.

$$y=1\times 24$$

Multiply 1 and 24 to get 24.

$$y=24$$