Solve (2x-3y)/3 - (x-2y)/2

Evaluate

\frac{2 x - 3 y}{3} - \frac{x - 2 y}{2}

Reduce fractions to a common denominator

\frac{( 2 x - 3 y ) \times 2}{3 \times 2} - \frac{( x - 2 y ) \times 3}{2 \times 3}

Multiply the numbers

\frac{( 2 x - 3 y ) \times 2}{6} - \frac{( x - 2 y ) \times 3}{2 \times 3}

Multiply the numbers

\frac{( 2 x - 3 y ) \times 2}{6} - \frac{( x - 2 y ) \times 3}{6}

Write all numerators above the common denominator

\frac{( 2 x - 3 y ) \times 2 - ( x - 2 y ) \times 3}{6}

Multiply the terms

More Steps

\frac{4 x - 6 y - ( x - 2 y ) \times 3}{6}

Multiply the terms

More Steps

\frac{4 x - 6 y - ( 3 x - 6 y )}{6}

Solution

More Steps

\frac{x}{6}

Simplify the expression