Solve x+31/2=42/3

$$x + 3 \frac { 1 } { 2 } = 4 \frac { 2 } { 3 }$$

Solve for x

$$x = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$6x+3\left(3\times 2+1\right)=2\left(4\times 3+2\right)$$

Multiply 3 and 2 to get 6.

$$6x+3\left(6+1\right)=2\left(4\times 3+2\right)$$

Add 6 and 1 to get 7.

$$6x+3\times 7=2\left(4\times 3+2\right)$$

Multiply 3 and 7 to get 21.

$$6x+21=2\left(4\times 3+2\right)$$

Multiply 4 and 3 to get 12.

$$6x+21=2\left(12+2\right)$$

Add 12 and 2 to get 14.

$$6x+21=2\times 14$$

Multiply 2 and 14 to get 28.

$$6x+21=28$$

Subtract 21 from both sides.

$$6x=28-21$$

Subtract 21 from 28 to get 7.

$$6x=7$$

Divide both sides by 6.

$$x=\frac{7}{6}$$