To divide fractions, we take the second listed fraction and turn it upside down (the numerator becomes the denominator), then we multiply the fractions together and simplify.
So,
3/4 divided by 5/16 becomes: 3/4 x 16/5
multiplying the numerators gives us 48
multiplying the denominators gives us 20
This creates the fraction 48/20.
To simplify, we need to find the lowest common factor. Let's factor 20 first. The first one that comes to mind is 5 x4 (the numbers we started with). Since 48 is not divisible by 5, let's see if 4 works? 48 divided by 4 =12, so now we have:
5x4/12x4, which, when we remove the common factor, leaves us with 5/12
