Solve (5/6)a - (4/5)a 1 = (1/2)a - 2/5

Evaluate

\frac{5}{6} a - \frac{4}{5} a \times 1 = \frac{1}{2} a - \frac{2}{5}

Simplify

More Steps

\frac{1}{30} a = \frac{1}{2} a - \frac{2}{5}

Move the variable to the left side

\frac{1}{30} a - \frac{1}{2} a = - \frac{2}{5}

Subtract the terms

More Steps

- \frac{7}{15} a = - \frac{2}{5}

Change the signs on both sides of the equation

\frac{7}{15} a = \frac{2}{5}

Multiply by the reciprocal

\frac{7}{15} a \times \frac{15}{7} = \frac{2}{5} \times \frac{15}{7}

Multiply

a = \frac{2}{5} \times \frac{15}{7}

Solution

More Steps

a = \frac{6}{7}

Alternative Form

a = 0. \dot{8} 5714 \dot{2}

Solve the equation