Question

What is 1/3 divided by 4/5?

Answer 1

`(5)/(12)`

Explanation:

Step 1: Set up the problem

• There are two ways to set up this problem.

1. 
   `(1)/(3)` ÷
   `(4)/(5)`
2. 
   `((1)/(3) )/((4)/(5) )`

Step 2: Solve

• To solve the first set up you can use the keep, change, flip method
• KCF: keep the first term, change from division to multiplication, flip the second term

1. 
   `(1)/(3)` ÷
   `(4)/(5)`
2. 
   `(1)/(3)` ×
   `(5)/(4)` =
   `(5)/(12)`

• To solve the second set up you multiply by the denominator's reciprocal

1. 
   `((1)/(3) )/((4)/(5) )`
2. 
   `(1)/(3)` ×
   `(5)/(4)` =
   `(5)/(12)`