Question

What is the value of p in this proportion?

Answer 1

If the formatting should be $\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }$, then this should be correct.

Answer:

p = $\frac{5}{8}$

Step-by-step explanation:

$\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }$                 [Given]

$\frac{5}{6} *\frac{1}{p} =\frac{\frac{2}{3} }{\frac{1}{2} }$            [Keep, change, and flip on the left side]

$\frac{5}{6} *\frac{1}{p} =\frac{2}{3}*2}$       [Keep, change, and flip on the right side]

$\frac{5}{6} *\frac{1}{p} =\frac{4}{3}}$            [Simplify the right side]

$\frac{5}{6p}=\frac{4}{3}}$                [Simplify the left side]

6p * 4 = 5 * 3    [Cross multiply]

24p = 15            [Simplify]

p = $\frac{15}{24}$                 [Divide both sides by 24]

p = $\frac{15/3}{24/3}$              [Simplify the fraction]

   p = $\frac{5}{8}$              [Answer]