Solve w+3/6=5/4

$$\frac { w + 3 } { 6 } = \frac { 5 } { 4 }$$

Solve for w

$$w = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

Multiply both sides by 6.

$$w+3=\frac{5}{4}\times 6$$

Express \frac{5}{4}\times 6 as a single fraction.

$$w+3=\frac{5\times 6}{4}$$

Multiply 5 and 6 to get 30.

$$w+3=\frac{30}{4}$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$w+3=\frac{15}{2}$$

Subtract 3 from both sides.

$$w=\frac{15}{2}-3$$

Convert 3 to fraction \frac{6}{2}.

$$w=\frac{15}{2}-\frac{6}{2}$$

Since \frac{15}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.

$$w=\frac{15-6}{2}$$

Subtract 6 from 15 to get 9.

$$w=\frac{9}{2}$$