Solve 7x-2x/3/154-frac{4{3}}

$$\frac { 7 x - \frac { 2 x } { 3 } } { 154 - \frac { 4 } { 3 } }$$

Evaluate

$$\frac{19x}{458}$$

Short Solution Steps

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

$$\frac{\frac{3\times 7x}{3}-\frac{2x}{3}}{154-\frac{4}{3}}$$

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

$$\frac{\frac{3\times 7x-2x}{3}}{154-\frac{4}{3}}$$

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

$$\frac{\frac{21x-2x}{3}}{154-\frac{4}{3}}$$

Combine like terms in 21x-2x.

$$\frac{\frac{19x}{3}}{154-\frac{4}{3}}$$

Convert 154 to fraction \frac{462}{3}.

$$\frac{\frac{19x}{3}}{\frac{462}{3}-\frac{4}{3}}$$

Since \frac{462}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{19x}{3}}{\frac{462-4}{3}}$$

Subtract 4 from 462 to get 458.

$$\frac{\frac{19x}{3}}{\frac{458}{3}}$$

Divide \frac{19x}{3} by \frac{458}{3} by multiplying \frac{19x}{3} by the reciprocal of \frac{458}{3}.

$$\frac{19x\times 3}{3\times 458}$$

Cancel out 3 in both numerator and denominator.

$$\frac{19x}{458}$$

Expand

$$\frac{19x}{458}$$

Short Solution Steps

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

$$\frac{\frac{3\times 7x}{3}-\frac{2x}{3}}{154-\frac{4}{3}}$$

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

$$\frac{\frac{3\times 7x-2x}{3}}{154-\frac{4}{3}}$$

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

$$\frac{\frac{21x-2x}{3}}{154-\frac{4}{3}}$$

Combine like terms in 21x-2x.

$$\frac{\frac{19x}{3}}{154-\frac{4}{3}}$$

Convert 154 to fraction \frac{462}{3}.

$$\frac{\frac{19x}{3}}{\frac{462}{3}-\frac{4}{3}}$$

Since \frac{462}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{19x}{3}}{\frac{462-4}{3}}$$

Subtract 4 from 462 to get 458.

$$\frac{\frac{19x}{3}}{\frac{458}{3}}$$

Divide \frac{19x}{3} by \frac{458}{3} by multiplying \frac{19x}{3} by the reciprocal of \frac{458}{3}.

$$\frac{19x\times 3}{3\times 458}$$

Cancel out 3 in both numerator and denominator.

$$\frac{19x}{458}$$