Solve k+5/7=-111/70

$$k + \frac { 5 } { 7 } = - \frac { 111 } { 70 }$$

Solve for k

$$k = -\frac{23}{10} = -2\frac{3}{10} = -2.3$$

Steps for Solving Linear Equation

Subtract \frac{5}{7} from both sides.

$$k=-\frac{111}{70}-\frac{5}{7}$$

Least common multiple of 70 and 7 is 70. Convert -\frac{111}{70} and \frac{5}{7} to fractions with denominator 70.

$$k=-\frac{111}{70}-\frac{50}{70}$$

Since -\frac{111}{70} and \frac{50}{70} have the same denominator, subtract them by subtracting their numerators.

$$k=\frac{-111-50}{70}$$

Subtract 50 from -111 to get -161.

$$k=\frac{-161}{70}$$

Reduce the fraction \frac{-161}{70} to lowest terms by extracting and canceling out 7.

$$k=-\frac{23}{10}$$