An airplane is carrying 180 passengers.

Question

 This is 9/10 of the capacity of the plane. What is the capacity of the airplane?

 

 

Also, what is 2/3 of 5/8?

Answer 1

I'll start with the second problem first.

 

2/3 of 5/8 is the same as 2/3 * 5/8

 

We multiply numerator times numerator, and denominator times denominator

 

2/3 * 5/8 = 10/24 = 5/12 in simplest terms

 

In the first problem, let the capacity of the plane = x

 

9/10 x = 180

 

9x = 1800 (when we multiply both sides of the equation by 10)

 

x = 200 passengers is the capacity of the plane