Solve w+21/2=51/4

$$w + 2 \frac { 1 } { 2 } = 5 \frac { 1 } { 4 }$$

Solve for w

$$w = \frac{11}{4} = 2\frac{3}{4} = 2.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$4w+2\left(2\times 2+1\right)=5\times 4+1$$

Multiply 2 and 2 to get 4.

$$4w+2\left(4+1\right)=5\times 4+1$$

Add 4 and 1 to get 5.

$$4w+2\times 5=5\times 4+1$$

Multiply 2 and 5 to get 10.

$$4w+10=5\times 4+1$$

Multiply 5 and 4 to get 20.

$$4w+10=20+1$$

Add 20 and 1 to get 21.

$$4w+10=21$$

Subtract 10 from both sides.

$$4w=21-10$$

Subtract 10 from 21 to get 11.

$$4w=11$$

Divide both sides by 4.

$$w=\frac{11}{4}$$