Solve 1+1/x/5-frac{1{4}}

$$\frac { 1 + \frac { 1 } { x } } { 5 - \frac { 1 } { 4 } }$$

Evaluate

$$\frac{4}{19}+\frac{4}{19x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x}{x}.

$$\frac{\frac{x}{x}+\frac{1}{x}}{5-\frac{1}{4}}$$

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

$$\frac{\frac{x+1}{x}}{5-\frac{1}{4}}$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{\frac{x+1}{x}}{\frac{20}{4}-\frac{1}{4}}$$

Since \frac{20}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{x+1}{x}}{\frac{20-1}{4}}$$

Subtract 1 from 20 to get 19.

$$\frac{\frac{x+1}{x}}{\frac{19}{4}}$$

Divide \frac{x+1}{x} by \frac{19}{4} by multiplying \frac{x+1}{x} by the reciprocal of \frac{19}{4}.

$$\frac{\left(x+1\right)\times 4}{x\times 19}$$

Use the distributive property to multiply x+1 by 4.

$$\frac{4x+4}{x\times 19}$$

Expand

$$\frac{4}{19}+\frac{4}{19x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x}{x}.

$$\frac{\frac{x}{x}+\frac{1}{x}}{5-\frac{1}{4}}$$

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

$$\frac{\frac{x+1}{x}}{5-\frac{1}{4}}$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{\frac{x+1}{x}}{\frac{20}{4}-\frac{1}{4}}$$

Since \frac{20}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{x+1}{x}}{\frac{20-1}{4}}$$

Subtract 1 from 20 to get 19.

$$\frac{\frac{x+1}{x}}{\frac{19}{4}}$$

Divide \frac{x+1}{x} by \frac{19}{4} by multiplying \frac{x+1}{x} by the reciprocal of \frac{19}{4}.

$$\frac{\left(x+1\right)\times 4}{x\times 19}$$

Use the distributive property to multiply x+1 by 4.

$$\frac{4x+4}{x\times 19}$$