Solve 11/2+x=45/6

$$1 \frac { 1 } { 2 } + x = 4 \frac { 5 } { 6 }$$

Solve for x

$$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Steps for Solving Linear Equation

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

$$3\left(1\times 2+1\right)+6x=4\times 6+5$$

Multiply 1 and 2 to get 2.

$$3\left(2+1\right)+6x=4\times 6+5$$

Add 2 and 1 to get 3.

$$3\times 3+6x=4\times 6+5$$

Multiply 3 and 3 to get 9.

$$9+6x=4\times 6+5$$

Multiply 4 and 6 to get 24.

$$9+6x=24+5$$

Add 24 and 5 to get 29.

$$9+6x=29$$

Subtract 9 from both sides.

$$6x=29-9$$

Subtract 9 from 29 to get 20.

$$6x=20$$

Divide both sides by 6.

$$x=\frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{10}{3}$$