Final answer:
To find 10 rational numbers between 3/5 and 6/7, we first need to find a common denominator. Then, we can find the rational numbers by considering the numerators that lie between the given fractions.
Step-by-step explanation:
To find 10 rational numbers between ¾ (3/5) and ⅓ (6/7), we need to find a common denominator. The common denominator for 5 and 7 is 35. So, we can write the two fractions as ½ = 21/35 and ⅓ = 30/35.
Now, we can find 10 rational numbers between these two fractions by finding the numbers that lie between 21/35 and 30/35 with the numerator ranging from 22 to 29. So, the 10 rational numbers between ¾ and ⅓ are:
- 22/35
- 23/35
- 24/35
- 25/35
- 26/35
- 27/35
- 28/35
- 29/35
- 30/35