Solve 1/2x-1/16=2/4

$$\frac { 1 } { 2 } x - \frac { 1 } { 16 } = \frac { 2 } { 4 }$$

Solve for x

$$x = \frac{9}{8} = 1\frac{1}{8} = 1.125$$

Steps for Solving Linear Equation

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

$$\frac{1}{2}x-\frac{1}{16}=\frac{1}{2}$$

Add \frac{1}{16} to both sides.

$$\frac{1}{2}x=\frac{1}{2}+\frac{1}{16}$$

Least common multiple of 2 and 16 is 16. Convert \frac{1}{2} and \frac{1}{16} to fractions with denominator 16.

$$\frac{1}{2}x=\frac{8}{16}+\frac{1}{16}$$

Since \frac{8}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}x=\frac{8+1}{16}$$

Add 8 and 1 to get 9.

$$\frac{1}{2}x=\frac{9}{16}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=\frac{9}{16}\times 2$$

Express \frac{9}{16}\times 2 as a single fraction.

$$x=\frac{9\times 2}{16}$$

Multiply 9 and 2 to get 18.

$$x=\frac{18}{16}$$

Reduce the fraction \frac{18}{16} to lowest terms by extracting and canceling out 2.

$$x=\frac{9}{8}$$