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Find 10 rational numbers between 3/5 and 6/7.

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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
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