Answer:
[tex]\frac{1}{6}p-\frac{4}{5}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3}p+\frac{1}{5} -1+\frac{5}{6} p[/tex]
You can separate the expression into two so that it is easier to understand and solve.
[tex]-\frac{2}{3} p+\frac{5}{6}p[/tex]
[tex]\frac{1}{5}-1[/tex]
Make sure each expression has fractions with common denominators.
[tex]-\frac{2}{3} p+\frac{5}{6}p\\\frac{2}{2} (-\frac{2}{3} p)+\frac{5}{6}p\\-\frac{4}{6} p+\frac{5}{6}p[/tex]
[tex]\frac{1}{5}-1\\\frac{1}{5}-1(\frac{5}{5})\\ \frac{1}{5}-\frac{5}{5}[/tex]
Now you can combine like factors.
[tex]-\frac{4}{6} p+\frac{5}{6}p\\\frac{1}{6} p[/tex]
[tex]\frac{1}{5}-\frac{5}{5}\\-\frac{4}{5}[/tex]
After you have combined like factors, you can add the two expressions together.
[tex]\frac{1}{6}p-\frac{4}{5}[/tex]
