Question

b -0.5p + \frac{1}{2}p - 2.75 + \frac{2}{3}p

Explanation:

Step1: Identify like terms

The terms with \( p \) are \(-0.5p\), \(\frac{1}{2}p\), and \(\frac{2}{3}p\). The constant term is \(-2.75\).

Step2: Simplify the \( p \)-terms

Note that \(-0.5 = -\frac{1}{2}\), so \(-0.5p+\frac{1}{2}p = -\frac{1}{2}p+\frac{1}{2}p = 0\).

Step3: Combine remaining \( p \)-term with constant

Now we have \( 0+\frac{2}{3}p - 2.75=\frac{2}{3}p - 2.75\). If we want to write \( 2.75\) as a fraction, \( 2.75=\frac{11}{4}\), so \(\frac{2}{3}p-\frac{11}{4}\), but usually decimal or fractional form is acceptable.

Answer:

\(\frac{2}{3}p - 2.75\) (or \(\frac{2}{3}p-\frac{11}{4}\))