Final answer:
Three rational numbers between 7/12 and 7/11 are 13/22, 79/132, and 10/33 after converting both fractions to a common denominator of 132 and choosing numbers between them.
Step-by-step explanation:
To find three rational numbers between 7/12 and 7/11, we need to create a common denominator and find equivalent fractions that are very close to one another. Let's start by finding a common denominator for 7/12 and 7/11. The smallest common multiple of 12 and 11 is 132, so we'll convert both fractions to have a denominator of 132:
- 7/12 = 77/132
- 7/11 = 84/132
Now, we need to pick three numbers between 77/132 and 84/132. Let's choose 78/132, 79/132, and 80/132. These fractions are equivalent to:
- 78/132 = 13/22
- 79/132 = 79/132 (There is no further simplification)
- 80/132 = 10/33