If 5/2 divided by 1/4=10, how do I justify my answer to show the quotient

Question

If 5/2 divided by 1/2 =10 how do I justify my answer

Answer 1

Hi, Willie.

 

Okay,

(5/2)/(1/4) = (5/2) x (4/1) .....(Freeze, change, flip)

 

= 20/2 = 10 

 

You can also look at it by asking how many 1/4's are in 5/2....5/2 = 2 1/2. So there are 4 fourths in 1 whole and another 4 fourths in the 2nd whole and 2 more fourths in 1/2. So 4 + 4 + 2 = 10 fourths