Chapter 11.6, Problem 17PPS

To determine

To find: the given difference

Answer to Problem 17PPS

The expression is $\frac{2y}{3}$ .

Explanation of Solution

Given:

  $\frac{5y}{6}-\frac{y}{6}$

Calculation:

The expression is as follows.

  $\frac{5y}{6}-\frac{y}{6}$

The objective is to find the sum or difference of the expression.

The operation is performed below.

  $\begin{array}{l}\frac{5y}{6}-\frac{y}{6}\\ =\frac{5y-y}{6}\\ =\frac{y\left(5-1\right)}{6}\\ =\frac{2y}{3}\end{array}$

Conclusion:

Therefore, the simplified expression is $\frac{2y}{3}$ .