Answer:
43/66
Step-by-step explanation:
Let's write both fractions with the same denominator. The LCD of 3 and 11 is 33.
2/3 = (2 * 11)/(3 * 11) = 22/33
7/11 = (7 * 3)/(11 * 3) = 21/33
The fractions 2/3 and 7/11 are equal to the fractions 22/33 and 21/33, respectively.
We need a fraction whose value is between 22/33 and 21/33.
We need a numerator between 21 and 22. Let's use 21.5 as the numerator.
The fraction 21.5/33 is between 2/3 and 7/11. In order not to have a decimal number as the numerator, we multiply the numerator and denominator of 21.5/33 by 2.
21.5/33 = 43/66
Answer: 43/66
