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.

Answer 1

Dividing by a fraction is equivalent to multiply by its inverse. For example, if you want to divide 3/4 by 5/6, you have to compute 3/4 multiplied by 6/5

`((3)/(4))/((5)/(6))=(3)/(4)\cdot(6)/(5)=(3\cdot6)/(4\cdot5)=(18)/(20)`

18/20 can be simplified by dividing each term by the same number, in this case by 2.

`(18)/(20)=((18)/(2))/((20)/(2))=(9)/(10)`

If you want to divide mixed numbers, first, you have to convert the mixed numbers into improper fractions, and then proceed as explained above.