Answer :
[tex]\frac{2p}{9} + \frac{5p}{18} - \frac{5}{6} = \frac{2}{3} + \frac{p}{12} + \frac{1}{6}[/tex]
[tex]\frac{4p}{18} + \frac{5p}{18} - \frac{5}{6} = \frac{2}{3} + \frac{p}{12} + \frac{1}{6}[/tex]
[tex]\frac{9p}{18} - \frac{5}{6} = \frac{4}{6} + \frac{1}{6} + \frac{p}{12}[/tex]
[tex]\frac{p}{2} - \frac{5}{6} = \frac{5}{6} + \frac{p}{12}[/tex]
[tex]\frac{p}{2} - \frac{5}{6} + \frac{5}{6} = \frac{5}{6} + \frac{5}{6} + \frac{p}{12} [/tex]
[tex]\frac{6p}{12} = 1\frac{2}{3} + \frac{p}{12}[/tex]
[tex]\frac{6p}{12} - \frac{p}{12} = 1\frac{2}{3} + \frac{p}{12} - \frac{p}{12}[/tex]
[tex]\frac{12}{5} * \frac{5p}{12} = 1\frac{2}{3} * \frac{12}{5} [/tex]
[tex]p = 4 [/tex]
[tex]\frac{4p}{18} + \frac{5p}{18} - \frac{5}{6} = \frac{2}{3} + \frac{p}{12} + \frac{1}{6}[/tex]
[tex]\frac{9p}{18} - \frac{5}{6} = \frac{4}{6} + \frac{1}{6} + \frac{p}{12}[/tex]
[tex]\frac{p}{2} - \frac{5}{6} = \frac{5}{6} + \frac{p}{12}[/tex]
[tex]\frac{p}{2} - \frac{5}{6} + \frac{5}{6} = \frac{5}{6} + \frac{5}{6} + \frac{p}{12} [/tex]
[tex]\frac{6p}{12} = 1\frac{2}{3} + \frac{p}{12}[/tex]
[tex]\frac{6p}{12} - \frac{p}{12} = 1\frac{2}{3} + \frac{p}{12} - \frac{p}{12}[/tex]
[tex]\frac{12}{5} * \frac{5p}{12} = 1\frac{2}{3} * \frac{12}{5} [/tex]
[tex]p = 4 [/tex]
