Question

Question #36f65

Answer 1

The larger your denominator, the smaller your overall answer.

Explanation:

All fractions are division problems. Doing the math

`3/7~~0.429`

`3/9~~0.333`

Thus `3/7"ths"` is greater since the overall unit (represented by the numerator) is divided into fewer pieces. The more pieces you divide a whole into, the smaller each individual piece becomes.

Answer 2

`3/7` is greater than `3/9`.

Explanation:

`3/7` and `3/9` have common denominator `7*9 = 63`

`3/7 = (3*9)/(7*9) = 27/63`

`3/9 = (3*7)/(9*7) = 21/63`

Since `27 > 21`, we see that `27/63 > 21/63`.

So `3/7 > 3/9`