Question

p - 3\frac{1}{6} = -2\frac{1}{2}

Explanation:

Step1: Convert mixed numbers to improper fractions

$3\frac{1}{6}=\frac{19}{6}$, $-2\frac{1}{2}=-\frac{5}{2}$
Equation becomes: $p - \frac{19}{6} = -\frac{5}{2}$

Step2: Isolate $p$ by adding $\frac{19}{6}$

$p = -\frac{5}{2} + \frac{19}{6}$

Step3: Find common denominator (6) and add

$-\frac{5}{2}=-\frac{15}{6}$, so $p = -\frac{15}{6} + \frac{19}{6}$

Step4: Calculate the sum

$p = \frac{-15 + 19}{6} = \frac{4}{6}$

Step5: Simplify the fraction

$p = \frac{2}{3}$

Answer:

$p=\frac{2}{3}$