Find a fraction between 7/9 & 8/9

15/18

To find a fraction between 7/9 and 8/9, we need to find a fraction with a numerator greater than 7 but less than 8.

Let's add the numerators of 7/9 and 8/9 together:
7/9 + 8/9 = (7 + 8)/9 = 15/9

Now, we need to find a fraction larger than 7/9 but smaller than 15/9. We can choose any numerator between 8 and 15.

For example, let's choose the numerator 10:
10/9

Therefore, 10/9 is a fraction between 7/9 and 8/9.

To find a fraction between 7/9 and 8/9, we need to determine a fraction whose numerator and denominator lie between those of the given fractions. Here's how you can do it:

1. Find a common denominator: In this case, since both fractions have the same denominator (9), we don't need to find a common denominator.

2. Determine an intermediary numerator: To find a fraction between 7/9 and 8/9, we need to find a number that lies between 7 and 8. Let's choose 7.5 as the intermediary numerator.

3. Create the fraction: Now, all we need to do is put our intermediary numerator over the common denominator. The fraction between 7/9 and 8/9 is 7.5/9.

However, since fractions are typically written with whole numbers as numerators, we can simplify 7.5/9 to an equivalent fraction with whole numbers. To do this, we divide both the numerator and the denominator by their greatest common divisor, which is 1:

7.5 ÷ 1 = 7.5
9 ÷ 1 = 9

This gives us the simplified fraction of 15/18. Thus, 15/18 is a fraction between 7/9 and 8/9.