Solve k+33/8=17/6

$$k + 3 \frac { 3 } { 8 } = 1 \frac { 7 } { 6 }$$

Solve for k

$$k = -\frac{29}{24} = -1\frac{5}{24} \approx -1.208333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,6.

$$24k+3\left(3\times 8+3\right)=4\left(1\times 6+7\right)$$

Multiply 3 and 8 to get 24.

$$24k+3\left(24+3\right)=4\left(1\times 6+7\right)$$

Add 24 and 3 to get 27.

$$24k+3\times 27=4\left(1\times 6+7\right)$$

Multiply 3 and 27 to get 81.

$$24k+81=4\left(1\times 6+7\right)$$

Multiply 1 and 6 to get 6.

$$24k+81=4\left(6+7\right)$$

Add 6 and 7 to get 13.

$$24k+81=4\times 13$$

Multiply 4 and 13 to get 52.

$$24k+81=52$$

Subtract 81 from both sides.

$$24k=52-81$$

Subtract 81 from 52 to get -29.

$$24k=-29$$

Divide both sides by 24.

$$k=\frac{-29}{24}$$

Fraction \frac{-29}{24} can be rewritten as -\frac{29}{24} by extracting the negative sign.

$$k=-\frac{29}{24}$$