Solve 7x-2x/3/15y-frac{y{3}}

$$\frac { 7 x - \frac { 2 x } { 3 } } { 15 y - \frac { y } { 3 } }$$

Evaluate

$$\frac{19x}{44y}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 7x times \frac{3}{3}.

$$\frac{\frac{3\times 7x}{3}-\frac{2x}{3}}{15y-\frac{y}{3}}$$

Since \frac{3\times 7x}{3} and \frac{2x}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3\times 7x-2x}{3}}{15y-\frac{y}{3}}$$

Do the multiplications in 3\times 7x-2x.

$$\frac{\frac{21x-2x}{3}}{15y-\frac{y}{3}}$$

Combine like terms in 21x-2x.

$$\frac{\frac{19x}{3}}{15y-\frac{y}{3}}$$

Combine 15y and -\frac{y}{3} to get \frac{44}{3}y.

$$\frac{\frac{19x}{3}}{\frac{44}{3}y}$$

Express \frac{\frac{19x}{3}}{\frac{44}{3}y} as a single fraction.

$$\frac{19x}{3\times \frac{44}{3}y}$$

Cancel out 3 and 3.

$$\frac{19x}{44y}$$

Expand

$$\frac{19x}{44y}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 7x times \frac{3}{3}.

$$\frac{\frac{3\times 7x}{3}-\frac{2x}{3}}{15y-\frac{y}{3}}$$

Since \frac{3\times 7x}{3} and \frac{2x}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3\times 7x-2x}{3}}{15y-\frac{y}{3}}$$

Do the multiplications in 3\times 7x-2x.

$$\frac{\frac{21x-2x}{3}}{15y-\frac{y}{3}}$$

Combine like terms in 21x-2x.

$$\frac{\frac{19x}{3}}{15y-\frac{y}{3}}$$

Combine 15y and -\frac{y}{3} to get \frac{44}{3}y.

$$\frac{\frac{19x}{3}}{\frac{44}{3}y}$$

Express \frac{\frac{19x}{3}}{\frac{44}{3}y} as a single fraction.

$$\frac{19x}{3\times \frac{44}{3}y}$$

Cancel out 3 and 3.

$$\frac{19x}{44y}$$