Solve 13/4+z=22/3

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

Solve for z

$$z=\frac{11}{12}\approx 0.916666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(1\times 4+3\right)+12z=4\left(2\times 3+2\right)$$

Multiply 1 and 4 to get 4.

$$3\left(4+3\right)+12z=4\left(2\times 3+2\right)$$

Add 4 and 3 to get 7.

$$3\times 7+12z=4\left(2\times 3+2\right)$$

Multiply 3 and 7 to get 21.

$$21+12z=4\left(2\times 3+2\right)$$

Multiply 2 and 3 to get 6.

$$21+12z=4\left(6+2\right)$$

Add 6 and 2 to get 8.

$$21+12z=4\times 8$$

Multiply 4 and 8 to get 32.

$$21+12z=32$$

Subtract 21 from both sides.

$$12z=32-21$$

Subtract 21 from 32 to get 11.

$$12z=11$$

Divide both sides by 12.

$$z=\frac{11}{12}$$