Solve 52/7+k=327/70

$$5 \frac { 2 } { 7 } + k = 3 \frac { 27 } { 70 }$$

Solve for k

$$k = -\frac{19}{10} = -1\frac{9}{10} = -1.9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 70, the least common multiple of 7,70.

$$10\left(5\times 7+2\right)+70k=3\times 70+27$$

Multiply 5 and 7 to get 35.

$$10\left(35+2\right)+70k=3\times 70+27$$

Add 35 and 2 to get 37.

$$10\times 37+70k=3\times 70+27$$

Multiply 10 and 37 to get 370.

$$370+70k=3\times 70+27$$

Multiply 3 and 70 to get 210.

$$370+70k=210+27$$

Add 210 and 27 to get 237.

$$370+70k=237$$

Subtract 370 from both sides.

$$70k=237-370$$

Subtract 370 from 237 to get -133.

$$70k=-133$$

Divide both sides by 70.

$$k=\frac{-133}{70}$$

Reduce the fraction \frac{-133}{70} to lowest terms by extracting and canceling out 7.

$$k=-\frac{19}{10}$$