Consider the numbers 4/15 and 3/10 (a) Compare the numbers. (B) find a fraction between the two given numbers

As a decimal 4/15 = 0.2666667

As a decimal 3/10 = 0.3 [talk about close]

3/10 is bigger.

You could take an average to find something between 4/15 and 3/10

1/2 (4/15 + 2/10)

1/2 (8/30 + 6/30)

1/2 (14/30)

1/2 (7/15)

7/30 is between the two given numbers ...