Question

What is the value of p in this proportion?

5/6 2/3
----- = ------
P 1/2

Enter your answer as a simplified
fraction.

p=

Answer 1

If the formatting should be
`((5)/(6) )/(p) =((2)/(3) )/((1)/(2) )`, then this should be correct.

Answer:

p =
`(5)/(8)`

Explanation:

`((5)/(6) )/(p) =((2)/(3) )/((1)/(2) )` [Given]

`(5)/(6) *(1)/(p) =((2)/(3) )/((1)/(2) )` [Keep, change, and flip on the left side]

`(5)/(6) *(1)/(p) =(2)/(3)*2}` [Keep, change, and flip on the right side]

`(5)/(6) *(1)/(p) =(4)/(3)}` [Simplify the right side]

`(5)/(6p)=(4)/(3)}` [Simplify the left side]

6p * 4 = 5 * 3 [Cross multiply]

24p = 15 [Simplify]

p =
`(15)/(24)` [Divide both sides by 24]

p =
`(15/3)/(24/3)` [Simplify the fraction]

p =
`(5)/(8)` [Answer]