Question

How do you compare each pair of fractions with <, > or = given `3/4, 8/12`?

Answer 1

Make the denominators the same and then compare

Explanation:

The first step to solving this problem would be to make the denominators the same:

`4 xx 3 = 12`, so multiply both halves the first fraction by 3: `3 xx 3 = 9`, and `4 xx 3 = 12`.
You now have the fractions `9/12` and `8/12`.

The second step is to compare the numerators: is 9 greater than, (`>`) equal to (`=`), or less than (`<`) 8? Clearly, 9 is greater than 8, so `9/12> 8/12`.

Therefore, your answer (using the original fractions) would be: `3/4 >8/12`