Solve 1/3k+1/4k+1/5k=180

$$\frac { 1 } { 3 } k + \frac { 1 } { 4 } k + \frac { 1 } { 5 } k = 180$$

Solve for k

$$k = \frac{10800}{47} = 229\frac{37}{47} \approx 229.787234043$$

Steps for Solving Linear Equation

Combine \frac{1}{3}k and \frac{1}{4}k to get \frac{7}{12}k.

$$\frac{7}{12}k+\frac{1}{5}k=180$$

Combine \frac{7}{12}k and \frac{1}{5}k to get \frac{47}{60}k.

$$\frac{47}{60}k=180$$

Multiply both sides by \frac{60}{47}, the reciprocal of \frac{47}{60}.

$$k=180\times \frac{60}{47}$$

Express 180\times \frac{60}{47} as a single fraction.

$$k=\frac{180\times 60}{47}$$

Multiply 180 and 60 to get 10800.

$$k=\frac{10800}{47}$$