Solve 4x-53x/5/3x-4frac{3x{5}}

$$\frac{ 4x- 5 \frac { 3x } { 5 } }{ 3x- 4 \frac { 3x } { 5 } }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Short Solution Steps

Cancel out 5 and 5.

$$\frac{4x-3x}{3x-4\times \frac{3x}{5}}$$

Combine 4x and -3x to get x.

$$\frac{x}{3x-4\times \frac{3x}{5}}$$

Express 4\times \frac{3x}{5} as a single fraction.

$$\frac{x}{3x-\frac{4\times 3x}{5}}$$

Multiply 4 and 3 to get 12.

$$\frac{x}{3x-\frac{12x}{5}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3x times \frac{5}{5}.

$$\frac{x}{\frac{5\times 3x}{5}-\frac{12x}{5}}$$

Since \frac{5\times 3x}{5} and \frac{12x}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x}{\frac{5\times 3x-12x}{5}}$$

Do the multiplications in 5\times 3x-12x.

$$\frac{x}{\frac{15x-12x}{5}}$$

Combine like terms in 15x-12x.

$$\frac{x}{\frac{3x}{5}}$$

Divide x by \frac{3x}{5} by multiplying x by the reciprocal of \frac{3x}{5}.

$$\frac{x\times 5}{3x}$$

Cancel out x in both numerator and denominator.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$