Question

Is `7/9 > 2/3`?

Answer 1

Yes

Explanation:

If you divide seven by nine, you get a repeating decimal of `0.bar7`.

However, when you divide two by three, you also get a repeating decimal but smaller: `0.bar6`

Answer 2

Yes. If you change the fraction of 2/3 to something with the denominator of 9, you can compare the numerators easily and directly.

Explanation:

You would do this by multiplying 2/3 by 3/3 to make 6/9, which is smaller than 7/9:

`7/9 > 2/3xx3/3=>7/9>6/9`

Answer 3

`7/9>2/3`

Explanation:

We'll use the fact that when you have `a/b` and `c/d`, then `a/b` is greater than `c/d` if `ad` is greater than `bc`.

So we have `7/9` and `2/3`

Let's cross-multiply.

`7/9?2/3`

=>`21?18`

Since the numerator of the first fraction times the denominator of the second fraction is larger, we say that:

`7/9>2/3`

If this solution confuses you , ignore this for now.

Answer 4

Use equivalent fractions to compare them.
`7/9 > 6/9`

`7/9 > 2/3`

Explanation:

Let's compare fractions which have the same denominator.
Use `9` as the denominator in both fractions.

`7/9 and 2/3 color(blue)(xx 3/3)`

`7/9 and 6/9`

Now it is clear that `7 > 6`

`:. 7/9 >6/9`

`7/9 > 2/3`