Solve k-31/4=25/12

$$k - 3 \frac { 1 } { 4 } = 2 \frac { 5 } { 12 }$$

Solve for k

$$k = \frac{17}{3} = 5\frac{2}{3} \approx 5.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,12.

$$12k-3\left(3\times 4+1\right)=2\times 12+5$$

Multiply 3 and 4 to get 12.

$$12k-3\left(12+1\right)=2\times 12+5$$

Add 12 and 1 to get 13.

$$12k-3\times 13=2\times 12+5$$

Multiply -3 and 13 to get -39.

$$12k-39=2\times 12+5$$

Multiply 2 and 12 to get 24.

$$12k-39=24+5$$

Add 24 and 5 to get 29.

$$12k-39=29$$

Add 39 to both sides.

$$12k=29+39$$

Add 29 and 39 to get 68.

$$12k=68$$

Divide both sides by 12.

$$k=\frac{68}{12}$$

Reduce the fraction \frac{68}{12} to lowest terms by extracting and canceling out 4.

$$k=\frac{17}{3}$$