If the formatting should be [tex]\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex], then this should be correct.
Answer:
p = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex] [Given]
[tex]\frac{5}{6} *\frac{1}{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex] [Keep, change, and flip on the left side]
[tex]\frac{5}{6} *\frac{1}{p} =\frac{2}{3}*2}[/tex] [Keep, change, and flip on the right side]
[tex]\frac{5}{6} *\frac{1}{p} =\frac{4}{3}}[/tex] [Simplify the right side]
[tex]\frac{5}{6p}=\frac{4}{3}}[/tex] [Simplify the left side]
6p * 4 = 5 * 3 [Cross multiply]
24p = 15 [Simplify]
p = [tex]\frac{15}{24}[/tex] [Divide both sides by 24]
p = [tex]\frac{15/3}{24/3}[/tex] [Simplify the fraction]
p = [tex]\frac{5}{8}[/tex] [Answer]
