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15\times \frac{1}{3}=p\times 6
Variable p cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 15p, the least common multiple of p,15.
\frac{15}{3}=p\times 6
Multiply 15 and \frac{1}{3} to get \frac{15}{3}.
5=p\times 6
Divide 15 by 3 to get 5.
p\times 6=5
Swap sides so that all variable terms are on the left hand side.
p=\frac{5}{6}
Divide both sides by 6.