Solve g+12/5=31/10

$$g + 1 \frac { 2 } { 5 } = 3 \frac { 1 } { 10 }$$

Solve for g

$$g = \frac{17}{10} = 1\frac{7}{10} = 1.7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,10.

$$10g+2\left(1\times 5+2\right)=3\times 10+1$$

Multiply 1 and 5 to get 5.

$$10g+2\left(5+2\right)=3\times 10+1$$

Add 5 and 2 to get 7.

$$10g+2\times 7=3\times 10+1$$

Multiply 2 and 7 to get 14.

$$10g+14=3\times 10+1$$

Multiply 3 and 10 to get 30.

$$10g+14=30+1$$

Add 30 and 1 to get 31.

$$10g+14=31$$

Subtract 14 from both sides.

$$10g=31-14$$

Subtract 14 from 31 to get 17.

$$10g=17$$

Divide both sides by 10.

$$g=\frac{17}{10}$$