{-\dfrac{2}{3}a+\dfrac{5}6a-\dfrac{1}6}

Question

Combine like terms to create an equivalent expression.

Answer 1

-\frac{2}{3}a + \frac{5}{6}a - \frac{1}{6}

= \left(-\frac{2}{3} + \frac{5}{6}\right)a - \frac{1}{6}

To combine the fractions, we need to find a common denominator. The common denominator for 3 and 6 is 6.

= \left(-\frac{4}{6} + \frac{5}{6}\right)a - \frac{1}{6}

= \left(\frac{1}{6}\right)a - \frac{1}{6}

Now, combine the coefficients of 'a':

= \frac{1}{6}a - \frac{1}{6}

Therefore, the equivalent expression is \frac{1}{6}a - \frac{1}{6}.