Question

I need to find the easiest way to learn how to divide fractions and mixed fractions. I also don't get how to simplify. 5 1/2 divided by 3/6

Answer 1

5 1/2 can be expressed as,

`5\text{ }(1)/(2)=(5*2+1)/(2)=(10+1)/(2)=(11)/(2)`

If a fraction x/y is divided by a/b another fraction,

`((x)/(y))/((a)/(b))=(x)/(y)*(b)/(a)`

So, 11/2 divided by 3/6 is

`((11)/(2))/((3)/(6))=(11)/(2)*(6)/(3)=(11)/(2)*2=11`

Therefore, 5 1/2 divided by 3/6 is 11.